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Unit 3 Review

Last updated over 2 years ago

32 questions

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Question 1

1.

Select the transformation for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

2 units left

2 units right

2 units up

2 units down

Question 2

2.

Graph the function below and select the point that lies on the curve.

(1,1)

(-2,2)

(0,2)

Question 3

3.

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

vertical compression by 1/2

2 units down

reflection over the x-axis

1 unit right

Question 4

4.

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

3 units up

vertical stretch by 4

4 units up

3 units down

Question 5

5.

Match each polynomial function with its correct end behavior.
*remember to add the exponents to find the degree in factored form

f(x)=(x+4)^2(x-1)
f(x)=x^2(x-7)^2
f(x)=-x(x+5)(x-4)(x+6)
f(x)=-(x+1)(x-3)^2(x+2)
f(x)=(x+2)(x+6)(x-2)
f(x)=-x(x+3)^2

Question 6

6.

Select ALL the zeros of f(x) and graph the function.

x=0

x=2

x=-1

x=1

x=-2

Question 7

7.

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.

Type f(x)=

Question 8

8.

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.

Type f(x)=

Question 9

9.

Select ALL the functions that could be represented by this graph.

A

B

C

D

Question 10

10.

Simplify and write your answer in standard form. No spaces!

Question 11

11.

Simplify and write your answer in standard form. No spaces!

Question 12

12.

Factor completely.

Question 13

13.

Factor completely.

Question 14

14.

Factor completely.

Question 15

15.

Factor completely.

Question 16

16.

Factor completely.

Question 17

17.

Factor completely.

Question 18

18.

Factor completely.

Question 19

19.

Find the zeros.

Question 20

20.

A

B

C

Question 21

21.

Use the rational root theorem to list ALL possible zeros for the polynomial.

Question 22

22.

What is the y-intercept of the polynomial?

Question 23

23.

What is the y-intercept of the polynomial?

Question 24

24.

Use synthetic division to find the quotient and the remainder, if there is one.

Question 25

25.

Use synthetic division to find the quotient and the remainder, if there is one.

Question 26

26.

Write the polynomial below in factored form, given that (x-1) is a factor.

Question 27

27.

Find the zeros.

Question 28

28.

Is (x+4) a factor of the polynomial below?

Question 29

29.

Write the polynomial in factored form and graph it.

Show clear points at the x and y intercepts.

Question 30

30.

Divide and find the quotient.

Question 31

31.

Divide and find the quotient.

Question 32

32.

Identify the transformations and graph. Your curve must include 3 clear points.

4 units left

4 units right

vertical stretch by 2

2 units up