Unit Test — Unit test Answers

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What is the solution to the equation ?

Question illustration
A
w = –8
B
w = –5
C
w = 5
D
w = 8
2
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Which describes how to graph by transforming the parent function?

Question illustration
A
Translate the parent function 5 units to the left and 7 units up.
B
Translate the parent function 5 units to the right and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.
3

Which of the following describes the solution to the equation ?

Question illustration
A
– 5 is an extraneous solution, and 1 is a true solution.
B
– 5 is a true solution, and 1 is an extraneous solution.
C
Both –5 and 1 are true solutions.
D
Both –5 and 1 are extraneous solutions.
4

The solid graph is a translation of .

Question illustration
A
2 units up
B
2 units down
C
2 units left
D
2 units right
5

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated function?

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

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

Question illustration
A
no real number solutions
B
one real number solution
C
two real number solutions
D
three real number solutions
7

What is the extraneous solution to the equation ?

Question illustration
A
p = –4
B
p = –2
C
p = 0
D
p = 4
8

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

The graph of the cube root parent function y = is translated to form f(x) shown on the graph.

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

Which statement is true of the function f(x) = ? Select three options.

Question illustration
A
The function is always increasing.
B
The function has a domain of all real numbers.
C
The function has a range of {y|– < y < }.
Option C
D
The function is a reflection of y = .
Option D
E
The function passes through the point (3, –27).
11

Which is the graph of the function f(x) = x3 + x2 + x + 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(3, 4)
B
(3, –4)
C
(–3, 4)
D
(–3, –4)
13

Graph the function y=x3+6x2+2x-11. Based on the graph, what is the largest possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

A
1.11
B
1.9
C
5.2
D
13.2
14

The graph of g(x) is a translation of y = .

Question illustration
A
g(x) =
Option A
B
g(x) =
Option B
C
g(x) =
Option C
D
g(x) =
Option D
15

What is the solution to the equation ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 2
16

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

Which statements describe the graph of y = ? Select three options.

Question illustration
A
The graph has a domain of all real numbers.
B
The graph has a range of y 1.
Option B
C
As x is increasing, y is decreasing.
D
The graph has a y-intercept at (0, 1).
E
The graph has an x-intercept at (–7, 0).
18

Which statement describes how to solve ?

Question illustration
A
Square both sides once and then solve the resulting linear equation.
B
Square both sides once and then solve the resulting quadratic equation.
C
Square both sides twice and then solve the resulting linear equation.
D
Square both sides twice and then solve the resulting quadratic equation.
19

Two possible solutions of are –7 and 1. Which statement is true?

Question illustration
A
Only x = –7 is an extraneous solution.
B
Only x = 1 is an extraneous solution.
C
Both solutions are extraneous.
D
Neither solution is extraneous.
20

The graph of f(x) = x3 + x2 – 9x – 9 is shown.

Question illustration
A
x = –1, 3
B
x = –3, –1
C
x = –3, –1, 3
D
x = –9, –3, –1, 3

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