Answers2026-2027_MDCPS_1200330_Algebra 2_FYFunction Inverses

Function Inverses — Unit test Answers

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1
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Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

Question illustration
A
mc008-2.jpg
Option A
B
(–12, 7]
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
2
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Which graph shows the solution to the inequality ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
3

Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance(mi)Rate(mph)Time(h)Slower Car165rFaster Car225r + 20

Question illustration
A
55 mph
B
60 mph
C
75 mph
D
130 mph
4

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
5

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Question illustration
A
x = 0
Option A
B
x = –1
Option B
C
x = 2
Option C
D
x = 5
Option D
6

Which statement verifies that f(x) and g(x) are inverses of each other?

A
mc016-1.jpg
Option A
B
and
Option B
C
mc016-4.jpg
Option C
D
and
Option D
7

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

A
1.6 n greater-than-or-equal-to 56
Option A
B
1.6 n less-than-or-equal-to 56
Option B
C
56 n less-than-or-equal-to 1.6
Option C
D
56 n greater-than-or-equal-to 1.6
Option D
8

What is the domain of the relation graphed below?

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

It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?

A
14 x + 10 x = 200
Option A
B
One-fourteenth x minus one-tenth x = 1
Option B
C
One-fourteenth x plus one-tenth x = 1
Option C
D
14 x minus 10 x = 200
Option D
10

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

Question illustration
A
u(x) 0 and v(x) 2
Option A
B
x 0 and x cannot be any value for which u(x) 2
Option B
C
x 2 and x cannot be any value for which v(x) 0
Option C
D
u(x) 2 and v(x) 0
Option D
11

Which equation is represented by the graph below?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
12

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

A
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
B
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
C
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
D
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).
13

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

A
–18
B
–4
C
16
D
42
14

What is the solution, if any, to the inequality ?

Question illustration
A
no solution
B
all real numbers
C
n > 2 or n < 6
D
2 < n < 6
15

For what value of is the function one-to-one?

Question illustration
2
2
5
5
1
11
1
13

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