Answers26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

Lesson 7: The Cube Root Function Answers

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Which is the graph of y = ?

Question illustration
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).
Option A
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).
Option B
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).
Option C
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).
Option D
2
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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)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

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

Question illustration
A
{x |-2 < x < 2}
B
{y |-2 < y < 2}
C
{x | x is a real number}
D
{y | y is a real number}
4

Which is the graph of the cube root function f(x) = ?

Question illustration
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).
Option A
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).
Option B
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).
Option C
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).
Option D
5

The graph shows the function g(x) for a restricted domain.

Question illustration
A
g(x) = ; x –4
Option A
B
g(x) = ; x 0
Option B
C
g(x) = ; x –4
Option C
D
g(x) = ; x 0
Option D
6

The graph of g(x) is a reflection and translation of .

Question illustration
A
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
Option A
B
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
Option B
C
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
Option C
D
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
Option D
7

The graph shows the function f(x).

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
8

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

Question illustration
A
h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
Option A
B
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
Option B
C
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
Option C
D
h (x) = RootIndex 3 StartRoot x EndRoot + 2
Option D
9

Which cube root function is always decreasing as x increases?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
10

The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

Question illustration
A
s > 0
B
s 4
Option B
C
s 8
Option C
D
s 16
Option D

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