AnswersMO-Algebra II AUnit Test

Unit Test — Unit test Answers

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If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
2
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Which equation represents a nonlinear function?

A
x(y – 5) = 2
B
y – 2(x + 9) = 0
C
3y + 6(2 – x) = 5
D
2(y + x) = 0
3

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
4

If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
5

If , what is ?

Question illustration
A
Option
Option A
B
Option
Option B
C
f Superscript negative 1 Baseline (x) = one-ninth x + 2
Option C
D
f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth
Option D
6

Which of the following is an odd function?

A
f(x) = x3 + 5x2 + x
B
f (x) = StartRoot x EndRoot
Option B
C
f(x) = x2 + x
D
f(x) = –x
7

Which graph represents the same relation as the table below?xf(x)–25011–12–3

A
A coordinate plane has 4 points. The points are (negative 2, 5), (negative 1, 1), (0, negative 1), and (negative 2, negative 3)
Option A
B
A coordinate plane has 8 points. The points are (negative 2, 0), (0, 5), (0, 1), (0, 0), (0, negative 1), (0, negative 3), (1, 0), (2, 0).
Option B
C
A coordinate plane has 4 points. The points are (negative 3, 2), (negative 1, 1), (1, 0), (5, negative 2)
Option C
D
A coordinate plane has 4 points. The points are (negative 2, 5), (0, 1), (1, negative 1), (2, negative 3).
Option D
8

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

A
(ab)(x)
B
(StartFraction a Over b EndFraction) (x)
Option B
C
(a – b)(x)
D
(a + b)(x)
9

If and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which of the following is an even function?

A
g(x) = (x – 1)2 + 1
B
g(x) = 2x2 + 1
C
g(x) = 4x + 2
D
g(x) = 2x
11

Given and , for which value of does ?

Question illustration
A
x = three-halves
Option A
B
x = 2
Option B
C
x = five-halves
Option C
D
x = 4
Option D
12

Which graph represents y – 1 = 2(x – 2)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

If a(x) = 3x + 1 and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
15

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

A
Since the function is even, the outputs of a negative x-value and a positive x-value are the same.
B
Since the function is even, the outputs of a negative y-value and a positive y-value are the same.
C
The graph has rotational symmetry, so the point will be reflected across the y-axis.
D
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
16

A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?

A
Option
Option A
B
e = 200s + 4
C
e = 4s + 200
D
Option
Option D
17

Which function is most likely graphed on the coordinate plane below?

Question illustration
A
f(x) = 3x – 11
B
f(x) = –4x + 12
C
f(x) = 4x + 13
D
f(x) = –5x – 19
18

Which graph represents an odd function?

A
There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).
Option A
B
There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).
Option B
C
There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)
Option C
D
There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).
Option D
19

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

Question illustration
A
x3 – x2
B
–x3 + x2
C
–x3 + x2 – 1
D
x3 – x2 + 1
20

Given , find f(7).

Question illustration
A
–4
B
3
C
7
D
56

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