The Cube Root Function Answers

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21
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On the coordinate grid, the graph of is shown. It is a reflection and translation of .

Question illustration
{
{x |-2 < x < 2}
{
{y |-2 < y < 2}
{
{x | x is a real number}
{
{y | y is a real number}
22
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The graph shows the function g(x) for a restricted domain.

Question illustration
g
g(x) = ; x –4
Option g
g
g(x) = ; x 0
Option g
g
g(x) = ; x –4
Option g
g
g(x) = ; x 0
Option g
23

The graph of h(x) is a translation of .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
26

The graph shows a vertical translation of y = .

Question illustration
{
{y|y < 0}
{
{y|y ≥ 0}
{
{y|y is a natural number}
{
{y|y is a real number}
27

Which statement about is true?

Question illustration
x
x = 4 is a true solution.
x
x = 4 is an extraneous solution.
x
x = 9 is a true solution.
x
x = 9 is an extraneous solution.
28

best

Question illustration
T
The domains of g(x) and f(x) are the same, but their ranges are not the same.
T
The ranges of g(x) and f(x) are the same, but their domains are not the same.
T
The ranges of g(x) and f(x) are the same, and their domains are also the same.
T
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
29

What are the solutions to the equation ?

Question illustration
x
x = –6, x = –5
x
x = –6, x = 5
x
x = –5, x = 6
x
x = 5, x = 6
30

The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Question illustration
g
g(x) = (x – 5)3 + 3
g
g(x) = (x + 3)3 – 5
g
g(x) = (x – 3)3 + 5
g
g(x) = (x + 5)3 – 3
31

What is the solution of the equation ?

Question illustration
b
b = 3
b
b = 9
b
b = 81
n
no solution
32

Which describes how to graph by transforming the parent function?

Question illustration
R
Reflect the parent function over the y-axis, and translate it 3 units to the right.
R
Reflect the parent function over the y-axis, and translate it 3 units to the left.
R
Reflect the parent function over the x-axis, and translate it 8 units to the right.
R
Reflect the parent function over the x-axis, and translate it 8 units to the left.
35

What is the solution to the equation ?

Question illustration
n
n = –4, n = –1
n
n = –1
n
n = 1
n
n = 1, n = 4

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