AnswersTX-Pre-CalculusUnit Test

Unit Test — Unit test Answers

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1
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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
2
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Use symmetry to graph the inverse of the function.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
3

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
4

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
5

Find (x).f(x) = g(x) = a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
6

Determine the domain of the function a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
7

Find .

Question illustration
A
1
B
0
C
-8
D
-1
8

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)
9

Given , find .a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
10

Use the graph to determine the domain and range of the relation, and whether the relation is a function.

Question illustration
A
Domain: {x| -8, 8}; Range: all real numbers; No, it is not a function.
B
Domain: {x| -8 x 8}; Range: all real numbers; Yes, it is a function.
C
Domain: {x| -8 x 8}; Range: all real numbers; No, it is not a function.
D
Domain: {x| -8 x 8}; Range: {y| -12 x 12}; Yes, it is a function.
11

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

Question illustration
A
–439
B
–141
C
153
D
443
12

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
13

Find the indicated values, where and .

Question illustration
A
-2
B
0
C
2
D
8
14

State whether the function is bounded above, bounded below or bounded. y = a. bounded above c. bounded b. bounded below Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
15

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

Question illustration
A
(0, 6)
B
(1, 4)
C
(2, 2)
D
(3, 0)
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

If you deposit $2000 in a savings account with an interest rate of r compounded annually, then the balance in the account after 3 years is given by the function B(c) = 2000(1 + r)3, where r is written as a decimal.What interest rate will yield a balance of $2300 after 3 years?

A
4.55%
B
3.25%
C
4.67%
D
4.77%
18

Find .

Question illustration
A
30
B
6
C
33
D
-6
19

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.
20

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

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