AP Calculus Summer Assignment 17-18 PART 1 | … AP Calculus Summer Assignment 17-18 PART 1 | Schoology 5/7 Question 16 (1 point) The graph of the given function is drawn with a solid

5/25/2017 AP Calculus Summer Assignment 17-18 PART 1 | Schoology

https://app.schoology.com/assignment/1090191424/assessment_preview 1/7

Questions Settings Preview Results Comments

AP Calculus 17‑18: Section 1 Tests/QuizzesAP Calculus Summer Assignment 17‑18 PART 1

Question 1 (1 point)

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.

f(x) = 3x2 + 12x + 9

a (‑3, 0); maximum b (‑2, 0); minimum c (‑3, ‑2); maximum d (‑2, ‑3); minimum


Find the inverse of the function.

f(x) =

a f‑1(x) =

b f‑1(x) =

c f‑1(x) =

d Not invertible


Match the function with the graph.

a y = b y = c y = + 3 d y = + 3



f(x) = x2 ‑ 9, x ≤ 0

a f‑1(x) = b f‑1(x) = ‑ c f‑1(x) = x2 + 9 d f‑1(x) = ‑

Questions 1‑25 of 25 | Page 1 of 1




Write the equation of the graph after the indicated transformation(s).

The graph of y = is shifted 1.2 units to the left. This graph is then vertically stretched by a factor of 7.6. Finally, the graph isreflected across the x‑axis.

a y = ‑7.6 b y = 7.6 c y = ‑1.2 d y = ‑7.6


Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second.

x4 ‑ 4, x ‑ 3

a x3 + 7x2 + 6x + 3; 77 b x3 + 4x2 + 16x + 64; 253 c x3 + 3x2 + 9x + 27; 77 d x3 + 3x2 + 9x + 27; 253

Question 7 (3 points)

Factor completely. If the polynomial cannot be factored, say it is prime.

x4 ‑ 256


Solve.

Find f‑1(8) and (f‑1 ∘ f)(2) for the function f = {(9, ‑6), (2, ‑8), (‑5, 8)}.

a

b {‑5, 2} c {‑5, ‑8} d {8, ‑8}


Solve for the indicated variable.

for n.





f(x) = ‑ 4

a f‑1(x) = x + 9 b f‑1(x) = 5x + 20 c f‑1(x) = 5x + 4 d f‑1(x) = 5x ‑ 20


Solve the equation by completing the square.

3x2 ‑ 2x ‑ 3 = 0

a

b

c

d


Solve.

+ =


Find all of the real and imaginary zeros for the polynomial function.

f(x) = 3x4 ‑ 10x3 + 20x2 ‑ 40x + 32

a , 2, ‑4i, 4i

b ‑ , ‑2, ‑2i, 2i

c , 2, ‑2i, 2i

d , 2, ‑i, i




Graph the following function by transforming the given graph of y = f(x).

Sketch the graph of y = ‑f(x).

a

b

c

d


Find the specified domain.

For f(x) = x2 ‑ 16 and g(x) = 2x + 3, what is the domain of g/f?

a (‑∞, ‑4) ∪ (‑4, 4) ∪ (4, ∞) b (‑∞, ∞) c ∪

d




The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn

with a dashed line. Find a formula for g(x).

f(x) =

a g(x) = b g(x) = c g(x) = + 4 d g(x) = 4


List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". JUSTIFY YOUR ANSWER by using the

definitions of EVEN and ODD functions.

f(x) = ‑3x3 + 3x


Solve the absolute value equation.

4|x+8| ‑ 2 = 0


Find , the inverse of the function. State the domain and range of .

f(x) = for x ≥ 8




Find the requested composition of functions.

Given f(x) = and g(x) = , find (f ∘ g)(x).

a

b

c

d


Find the specified domain.

For g(x) = and h(x) = , what is the domain of h ∘ g ?

a [0, 75) ∪ (75, ∞) b [0, 9) ∪ (9, ∞) c [‑6, 9) ∪ (9, ∞) d [‑6, 75) ∪ (75, ∞)


Find the center and radius of the circle.

(x ‑ 9)2 = 4 ‑ (y + 7)2

a Center: (9, ‑7); radius: 2 b Center: (‑9, 7); radius: 4 c Center: (‑7, 9); radius: 2 d Center: (7, ‑9); radius: 4


An expression that occurs in calculus is given. Factor completely.

3(x + 5)2(2x ‑ 1)2 + 4(x + 5)3(2x ‑ 1)




Factor completely. If the polynomial cannot be factored, say it is prime.

x9 ‑ 1

a (x ‑ 1)(x + 1)(x6 + x3 + 1) b (x + 1)(x2 ‑ x + 1)(x6 ‑ x3 + 1) c (x ‑ 1)(x2 + x + 1)(x6 + x3 + 1) d (x3 ‑ 1)(x6 + x3 + 1)


Give the interval where the function increases. JUSTIFY YOUR ANSWER.

f(x) = (x + 2)2 + 9

You are viewing this test/quiz in preview mode. Your answers will not be saved and cannot be reviewed.

Submit

Documents

AP Calculus Summer Assignment 17-18 PART 1 | … AP Calculus Summer Assignment 17-18 PART 1 | Schoology 5/7 Question 16 (1 point) The graph of the given function is drawn with a solid