blacktriangle NY Next Generation Standards moved Cube Root Functions to Algebra 2.
Practice Page

Directions: Read carefully.

1.
If the graph shown at the right is a transformation of the parent function crpm1, which choice is a possible equation for this function?
Choose:
crpm3
crp2m
crpm4
crpm5
CRP1

 

 

2.
Function g(x) is a transformation of the parent cube root function.
gx

On which interval is the function decreasing?
Choose:
(-∞,0)
(-∞,2)
(-∞,∞)
(2,∞)
crpgraph9
 

 

 

3.
Regarding the graph at the right:
h(x) is a transformation of the parent cube root function.
a) Which interval is the domain?
Choose:
[0, 4]
[-5, 5]
[0, ∞)
(-∞, ∞)

b)
Which point is the x-intercept?
Choose:
(0,-5)
(0, 2)
(-5, 0)
(2, 0)
pp10
hcube
 
 

c)
On which interval is the function positive?
Choose:
(-∞, ∞)
(-5, ∞)
(2, ∞)
(0, ∞)

 

 

4.
Given.
a) Find the x-intercept.
Choose:
(-1, 6)
(1, 0)
(2, 0) (-2, 0)

b) Find the maximum value on the interval [-6, 10]. Express as an ordered pair.
Choose:
(-10, 6)
(10, 8)
(10, 6) (-10, 8)
 
 
c) Find the minimum value on the interval [-6, 10]. Express as an ordered pair.
Choose:
(10, -6)
(10, -8)
(-6, -8) (-6, -2)

 

 

5.
Which cube root function produces the table shown at the right?

Choose:
 

 

 

6.
Given:
If g(x) is a transformation of f (x), which equation represents
function g(x)?

Choose:
g(x) = f (x) + 1
g(x) = 2 f (x)
g(x) = f (x) + 2
g(x) = f (x + 1)
 

 

 

7.
Given:

a) What is the y-intercept?
Choose:
(0, 3)
(0, 4)
(4, 0)
(3, 0)

b)
What is the x-intercept?
Choose:
(-8, 0)
(-27, 0)
(-64, 0)
(-125, 0)
 

 

 

8.
Given: and

What is the value of x that makes the equation f (x) = g(x) true?

Choose:
x = -1
x = 0
x = 1
x = 2
 


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