Unit Test — Unit test Answers

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1
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What is the solution of the equation ?

Question illustration
A
b = 3
B
b = 9
C
b = 81
D
no solution
2
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Which table represents points on the graph of h(x) = ?

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A
A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
Option A
B
A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
Option B
C
A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
Option C
D
A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.
Option D
3

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(5, −6)
B
(−5, −6)
C
(5, 6)
D
(−5, 6)
4

Which statement best describes and the parent function ?

Question illustration
A
The domains of g(x) and f(x) are the same, but their ranges are not the same.
B
The ranges of g(x) and f(x) are the same, but their domains are not the same.
C
The ranges of g(x) and f(x) are the same, and their domains are also the same.
D
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
5

Which is the graph of the function f(x) = x3 – x2 – 17x – 15?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

What are the solutions to the equation ?

Question illustration
A
x = –6, x = –5
B
x = –6, x = 5
C
x = –5, x = 6
D
x = 5, x = 6
7

The graph shows a vertical translation of y = .

Question illustration
A
{y|y < 0}
B
{y|y ≥ 0}
C
{y|y is a natural number}
D
{y|y is a real number}
8

What is the solution to the equation ?

Question illustration
A
n = –4, n = –1
B
n = –1
C
n = 1
D
n = 1, n = 4
9

Which statement about is true?

Question illustration
A
x = 4 is a true solution.
B
x = 4 is an extraneous solution.
C
x = 9 is a true solution.
D
x = 9 is an extraneous solution.
10

Graph the function y=x3+3x2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

A
-2.88
B
-2.00
C
-0.65
D
-0.53
11

Which describes how to graph by transforming the parent function?

Question illustration
A
Reflect the parent function over the y-axis, and translate it 3 units to the right.
B
Reflect the parent function over the y-axis, and translate it 3 units to the left.
C
Reflect the parent function over the x-axis, and translate it 8 units to the right.
D
Reflect the parent function over the x-axis, and translate it 8 units to the left.
12

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

Question illustration
A
g(x) = (x – 5)3 + 3
B
g(x) = (x + 3)3 – 5
C
g(x) = (x – 3)3 + 5
D
g(x) = (x + 5)3 – 3

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