Unit Test — Unit test Answers

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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
5

What is the value of the following function when x = 0?

Question illustration
A
y = negative 5
Option A
B
y = negative 2
Option B
C
y = negative 1
Option C
D
y = 0
Option D
7

Which function has an inverse that is also a function?

A
g(x) = 2x – 3
B
k(x) = –9x2
C
f(x) = |x + 2|
D
w(x) = –20
8

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
9

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
10

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)
11

If and , what is the domain of ?

Question illustration
A
mc020-4.jpg
Option A
B
mc020-5.jpg
Option B
C
mc020-6.jpg
Option C
D
mc020-7.jpg
Option D
12

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Question illustration
A
4x3 + 18x2 – 10x
B
x2 + 9x – 2
C
16x2 + 4x – 6
D
4x2 + 20x – 2
13

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
14

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.
15

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
16

If , what is ?

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
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
17

What is the solution to the equation ?

Question illustration
A
a = –5
B
a = –3
C
a = 3
D
a = 5
18

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

Question illustration
A
mc017-3.jpg
Option A
B
mc017-4.jpg
Option B
C
mc017-5.jpg
Option C
D
mc017-6.jpg
Option D
20

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

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