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1
find
423)( 2 xxxf
)2( xf
4412)2( 2 xxxf
2 Find the domain of
2)( 2 xxf
D All real numbers
3 Find the domain of
4
2)(
2 x
xxf
2| xx
4 Find the domain of
123)( xxf
4| xx
5 Find the domain range and intercepts for
D [0 4] R [0 3] Int (0 0)
6 If
and f(2) = 5 find C
Cxxxxf 442)( 23
3C
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
2 Find the domain of
2)( 2 xxf
D All real numbers
3 Find the domain of
4
2)(
2 x
xxf
2| xx
4 Find the domain of
123)( xxf
4| xx
5 Find the domain range and intercepts for
D [0 4] R [0 3] Int (0 0)
6 If
and f(2) = 5 find C
Cxxxxf 442)( 23
3C
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
3 Find the domain of
4
2)(
2 x
xxf
2| xx
4 Find the domain of
123)( xxf
4| xx
5 Find the domain range and intercepts for
D [0 4] R [0 3] Int (0 0)
6 If
and f(2) = 5 find C
Cxxxxf 442)( 23
3C
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
4 Find the domain of
123)( xxf
4| xx
5 Find the domain range and intercepts for
D [0 4] R [0 3] Int (0 0)
6 If
and f(2) = 5 find C
Cxxxxf 442)( 23
3C
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
5 Find the domain range and intercepts for
D [0 4] R [0 3] Int (0 0)
6 If
and f(2) = 5 find C
Cxxxxf 442)( 23
3C
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
6 If
and f(2) = 5 find C
Cxxxxf 442)( 23
3C
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
7 Given f(x) = 2x2 + 3 and g(x) = 4x3 + 1a Find (f g)(x) and find the domain
8x5 + 2x2 + 12x3 + 3 All reals
b Find (fg)(2)
2(4) + 3 4(8) + 1 = 1133 = 13
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
8 Given f(x) = -3x + 1 find f(x + h) ndash f(x)
h
-3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
9
(a) Find the domain and range D [-π π] R [-
1 1](b) Increasing Decreasing (-π 0) (0 π)
(c) Even odd or neither Even(d) Local max min Max (0 1)
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
10 Given finda average rate of change from -3 to 1
-2
b Find the equation of the secant line from -3 to 1
y = -2x + 4
1)( 2 xxf
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
11 Given f(x) = 2x2 ndash x finda IS the point (1 1) on the graph
Yesb List the x intercepts
( 0 0) (12 0)
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
12 Determine algebraically whether the following graph is even odd or neither
F(x) = x3 - 1
Neither
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
13 f(x) = -04x3 + 06x + 3x ndash 2 (-4 5) What intervals are you increasing
(-116 216)
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
14 Given f(x) = x + 1 x lt 0 x2 x gt 0
a Graphb Find domain and range
All realsc Is the graph continuous
Yes
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
15 Write a definition for
F(x) = x -3 lt x lt 0 5 x gt 0
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
16 Sprint PCS offers a monthly cellular phone plan for $3999 It includes 450 anytime minutes and charges $045 per minute for 100 additional minutes and $040 per minute for any minutes after that Develop a model that relates monthly cost
F(x) = 3999 0 lt x lt 450 3999 + 45x 450lt x lt 550
3999 + 45(100) + 40x x gt 550
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
17 f(x) = frac12 (x ndash 1)2 ndash 3 finda Basic function
y = x2
b State shifts vert shrink right 1 down 3c Graph
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
18 f(x) = - +1 finda Basic function
y = b State shifts
flip x left 2 up 1c Graph
2x
x
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
19 If (4 2) is a point on the graph of f(x) find the new point if f (x ndash 2)
(6 2)
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
20 Suppose the x intercepts of the graph are -3 and 2 Then the x ndash intercepts of the graph y = 2f(x) are
-3 2
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
21 A rectangle has one vertex in quadrant 1 on the graph of y = 10 ndash x2 another at the origin one on the positive x axis and one on the positive y axis a Express the area A of the rectangle
as a function of x
A(x) = x(10 ndash x2 ) = 10x ndash x2
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
22 A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides Express the volume of the box as a function of the length x of the side of the square cut from each corner
V(x) = (30 ndash x)(30 ndash x) x = 900x ndash 60x2 + x3
