Answers2026-2027_MDCPS_1200330_Algebra 2_FYFunction Inverses

Function Inverses — Unit test Answers

15 verified answers
1
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Consider the function represented in the table.

Question illustration
A
(–20, 8)
B
(–10, 3)
C
(0, –2)
D
(8, –6)
2
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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 ?

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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
3

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

Question illustration
A
mc016-2.jpg
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D
4

In a physics class, the teacher proposes that the velocity of a car in miles per hour and the stopping distance in feet are represented by inverse functions.Assuming this is true, which graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
6

For which pair of functions is ?

Question illustration
A
f(x) = 3 – 4x and g(x) = 16x – 3
B
f(x) = 6x2 and
Option B
C
and g(x) = 144x
Option C
D
f(x) = 4x and g(x) = 3x
7

Consider the inverse function. Which conclusions can be drawn about f(x) = x2 + 2? Select three options.f(x) has a limited range.f(x) has a restricted domain.f(x) has an x-intercept of (2, 0).f(x) has a maximum at the point (0, 2).f(x) has a y-intercept at the point (0, 2).

Question illustration
A
f(x) has a limited range.
B
f(x) has a restricted domain.
C
f(x) has an x-intercept of (2, 0).
D
f(x) has a maximum at the point (0, 2).
E
f(x) has a y-intercept at the point (0, 2).
8

Consider the function.f(x) = x2 + 3Which answer pairs a possible domain restriction that if placed upon f(x) would impact f–1(x) as shown?

A
f(x) domain: x ≥ 3f–1(x) domain: x ≥ 3
B
f(x) domain: x ≥ 3f–1(x) range: y ≥ 3
C
f(x) domain: x ≥ 0f–1(x) domain: x ≥ 0
D
f(x) domain: x ≥ 0f–1(x) range: y ≥ 0
9

What values are excluded from the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
10

If and , what is the degree of ?

Question illustration
A
2
B
3
C
5
D
6
11

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
12

If the function has an inverse function, which statement must be true?

Question illustration
A
b not-equals 0
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

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
14

What are the domain and range of the function ?

Question illustration
A
domain: all real numbers greater than 1range: all real numbers
B
domain: all real numbersrange: all real numbers greater than 0
C
domain: all real numbersrange: all real numbers greater than 1
D
domain: all real numbers less than 5range: all real numbers greater than 1
15

What are the domain and range of the function below?

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

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