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Cubic/ Cube Root Review

Total questions: 14

Worksheet time: 10mins

Name
Class
Date
1.

Which of the following is the graph of y = (x – 1)3 – 7?

a)
b)
c)
d)
2.

Which of the following is the graph of

y = -0.5(x)1/3 ?

a)
b)
c)
d)
3.

Which of the following is the graph of

y = -3(x - 3)1/3 - 1?

a)
b)
c)
d)
4.

What is the inverse of (x - 7)3 + 3?

(Remember the x and y coordinates switch.)

a)

(x - 3)1/3 + 7

b)

(x + 3)1/3 + 7

c)

(x - 3)1/3 - 7

d)

(x + 3)1/3 - 7

5.

What is the inverse of -5(x + 6)3 -1?

Remember that the x and y switch. Also think about where you will divide out the -5 in the solving process.

a)

-(0.2(x + 1))1/3 -6

b)

-(5(x +1))1/3 -6

c)

-5(x + 1)1/3 -6

d)

-0.2(x + 1 )1/3 -6

6.

What is the inverse of f(x) = (x-9)3? Remember that the x and y switch.

a)

f-1(x) = x1/3 + 9

b)

f-1(x) = x1/3 - 9

c)

f-1(x) =(x + 9)1/3

d)

f-1(x) =(x - 9)1/3

7.

Which value of makes this equation true?

9(x - 7)4/3 = 9

a)

1

b)

7

c)

8

d)

34

8.

Solve for x:

(4x + 1)1/3 = 5

a)

-31

b)

6

c)

31

d)

No real solution

9.

Solve for x:

x - 7 = (x - 1)1/2

a)

x = 5 and x = 10

b)

x =10

c)

x = 5

d)

No real solutions

10.

What is the value of x in the equation (2x + 1)1/2 + 3 = 6

a)

1

b)

13

c)

4

d)

16

11.
The graph of a function is shown.  What are the domain and range of this function?
a)
Domain: (-∞, ∞)
Range: (-∞, 2]
b)
Domain: [2, ∞)
Range: (-∞, ∞)
c)
Domain: (-∞, ∞)
Range: (-∞, ∞)
d)
Domain: (-∞, 2]
Range: [2, ∞)
12.
What is the Domain of ALL Cube Root Functions in interval notation?
a)
(−∞,∞)
b)
−∞<x<∞
c)
(−∞,0]
d)
All Cube Root Functions are different.
13.
What transformations have occurred to get the graph of g(x) from the graph of f(x)?
a)
vertical shrink by a factor of 1/4,translation down 2 units
b)
vertical shrink by a factor of 1/4,translation right 2 units
c)
vertical stretch by a factor of 1/4,translation down 2 units
d)
vertical stretch by a factor of 1/4,translation right 2 units
14.
What transformations have occurred to get the graph of g(x) from the graph of f(x)?
a)
reflection over the x-axis,vertical compress by a factor of 5
b)
reflection over the y-axis,vertical compress by a factor of 5
c)
reflection over the x-axis,vertical stretch by a factor of 5
d)
reflection over the y-axis,vertical stretch by a factor of 5