The Cube Root Function Answers
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1
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On the coordinate grid, the graph of is shown. It is a reflection and translation of .
A
{x |-2 < x < 2}B
{y |-2 < y < 2}C
{x | x is a real number}D
{y | y is a real number}2
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The graph of g(x) is a translation of y = .
A
g(x) =
B
g(x) =
C
g(x) =
D
g(x) =
3
The function f(x) = is reflected over the x-axis to create the graph of g(x) = .Which is the graph of g(x)?
A
On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8).
B
On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8).
C
On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
D
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
4
The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?
A
Option
B
Option
C
Option
D
Option
5
On the coordinate grid, the graph of is shown. It is a translation of .
A
{x | 1 < x < 5}B
{y | 1 < y < 5}C
{x | x is a real number}D
{y | y is a real number}6
Which is the graph of y = ?
A
On a coordinate plane, a cube root function goes through (negative 6, 2), has an inflection point at (2, 0), and goes through (10, negative 2).
B
On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, negative 2), and goes through (8, negative 4).
C
On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, 2), and goes through (8, 4).
D
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 2, 0), and goes through (6, 2).
7
The graph shows the function g(x) for a restricted domain.
A
g(x) = ; x –4B
g(x) = ; x 0
C
g(x) = ; x –4D
g(x) = ; x 0
8
The graph of is shown.
A
The function is only increasing when x ≥ −8.B
The function is only increasing when x ≥ 0.C
The function is always decreasing.D
The function is always increasing.9
Which is the graph of the cube root function f(x) = ?
A
On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
B
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
C
On a coordinate plane, a cube root function goes through (negative 4, negative 2), has an inflection point at (0, 0), and goes thorugh (4, 2).
D
On a coordinate plane, a cube root function goes through (negative 4, 2), has an inflection point at (0, 0), and goes through (4, negative 2).
10
The graph of g(x) is a reflection and translation of .
A
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
B
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
C
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
D
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
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