Topic 1: Given an equation, determine the type of function represented.

Topic 2: Given an equation, describe the function’s rate of change.

Topic 3: Given an equation, identify its intercepts.

Topic 4: Given an equation, identify a function’s turning points and its intervals of increase and decrease.

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

34 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: LinearType: Slope Intercept FormRate: Constant of +4.Increases: (-∞,∞)Decreases: NeverMaximum: NoneMinimum: NoneY-intercept: (0,-3)

3)0(4 y30 y

3y

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

523

2 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: LinearType: Point Slope FormRate: Constant of +2/3.Increases: (-∞,∞)Decreases: NeverMaximum: NoneMinimum: NoneY-intercept: (0,3)

5303

2y

533

2y

52y3y

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

5y

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: LinearType: HorizontalRate: Constant of 0.Increases: NeverDecreases: NeverMaximum: NoneMinimum: NoneY-intercept: (0,5)

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

826 yx

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: LinearType: Standard FormRate: Constant of 3.Increases: (-∞,∞)Decreases: NeverMaximum: NoneMinimum: NoneY-intercept: (0,4)

82)0(6 y82 y

4y

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

82 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: ExponentialType: NoneRate: Factor of 2Increases: (-∞,∞)Decreases: NeverMaximum: NoneMinimum: NoneY-intercept: (0,-7)

820 y81y7y

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

22

13

x

y

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: ExponentialType: NoneRate: Factor of 1/2Increases: NeverDecreases: (-∞, ∞)Maximum: NoneMinimum: NoneY-intercept: (0,5)

22

13

0

y

213 y

23y5y

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

323 2 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: QuadraticType: Vertex FormRate: Changing By +6Increases: (2, ∞)Decreases: (-∞, 2)Maximum: NoneMinimum: (2, -3)Y-intercept: (0,9)

3203 2 y 323 2 y 343 y312 y

9y

Turning Point: (2, -3)Y-intercept:

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

73 2 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Function: QuadraticType: Both FormsRate: Changing By -6Increases: (-∞, 0)Decreases: (0, ∞)Maximum: (0, 7)Minimum: NoneY-intercept: (0,7)

7)0(3 2 y

7y

Turning Point: (0, 7)

Y-intercept:

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

642 2 xxy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Turning Point:

)2(2

4

4

4

1

6)1(4)1(2 2 y8y

(-1, 8) 6)0(4)0(2 2 y6y

Function: QuadraticType: Standard FormRate: Changing By -4Increases: (-∞, -1)Decreases: (-1, ∞)Maximum: (-1, 8)Minimum: NoneY-intercept: (0,6)

Y-intercept:

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

363 2 xxy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Turning Point:

)3(2

6

6

6 1

3)1(6)1(3 2 y0y

(-1, 8) 3)0(6)0(3 2 y3y

Function: QuadraticType: Standard FormRate: Changing By +6Increases: (1, ∞)Decreases: (-∞, 1)Maximum: NoneMinimum: (1, 0)Y-intercept: (0,3)

Y-intercept:

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

243 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Turning Point: (4, 2)

2403 yY-intercept:

243 y212y

14yFunction: Absolute ValueType: NoneRate: -3 until (4,2) then +3Increases: (4, ∞)Decreases: (-∞, 4)Maximum: NoneMinimum: (4, 2)Y-intercept: (0,14)

Y-intercept: The place where a graph cross the y-axis.

Topic 4: Given an equation, identify its intercepts.

12 xy

It is the place where the x value is zero.It is written as an ordered pair: (0, #).

Turning Point: (-1, 0)

102 yY-intercept:

13y3y

Function: Absolute ValueType: NoneRate: +2 until (-1,0) then -2Increases: (-∞, -1)Decreases: (-1, ∞)Maximum: (-1, 0)Minimum: NoneY-intercept: (0,3)