1 Exampromax - Stuvia US 2025/2026
Math 110 Test 3 2024 -2025 LATEST
UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED
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The graph of which of the following basic functions is increasing on the
interval (-∞,∞)?
A. f(x)=1/x
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B. f(x)=|x|
Exampromax - Stuvia US
C. f(x)=x^2
D. f(x)=∛x
Ans: D
Identify the collection of three functions whose graphs are all symmetric
about the origin.
A. y=1/x, y=x, and y∛x
B. y=x^3, y=3, and y=1/x
C. y=|x|, y=1/x, and y=x^3
D. y=x^3, y=x^2, and y=√x
Ans: A
Identify the collection of three functions that are all even.
, 2 Exampromax - Stuvia US 2025/2026
A. y=x, y=x^2, and y=y=1/x, y=x, and y=√x
B. y=-3, y=x^2, and y=|x|
C. y=|x|, y=√x, and y=2
D. y=x^2, y=3, and y=1/x
Ans: B
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Which of the following basic functions is equivalent to the piece-wise-
defined function
Exampromax - Stuvia US
f(x){ x if x≥0
-x if x<0 ?
A. f(x)=1/x
B. f(x)=x^2
C. f(x)=x
D. f(x)=|x|
Ans: D
Which of the following statements is not true?
A. It is possible for a piecewise-defined function to have more than one y-
intercept depending on how the function is defined.
, 3 Exampromax - Stuvia US 2025/2026
B. Given that the graph of piecewise-defined function, it is sometimes
possible to find a rule that describes the graph.
C. The range of a piecewise-defined function can be (-∞,∞).
D. The domain of a piecewise-defined function can be (-∞,∞).
Ans: A
Given the graph of y=f(x), if c is a positive real number, then which of the
following statements best describes how to sketch the graph of y=f(x)+c?
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A. The graph of y=f(x)+c can be obtained by horizontally shifting the graph
Exampromax - Stuvia US
of y=f(x) to the right c units.
B. The graph of y=f(x)+c can be obtained by vertically shifting the graph of
y=f(x) down c units.
C. The graph of y=f(x)+c can be obtained by vertically shifting the graph of
y=f(x) up c units.
D. The graph of y=f(x)+c can be obtained by horizontally shifting the graph
of y=f(x) to the left c units.
Ans: C
Given the graph of y=f(x), if c is a positive real number, then which of the
following statements best describes how to sketch the graph of y=f(x+c)?
A. The graph of y=f(x+c) can be obtained by vertically shifting the graph of
y=f(x) up c units.
B. The graph of y=f(x+c) can be obtained by horizontally shifting the graph
of y=f(x) to the right c units.
Math 110 Test 3 2024 -2025 LATEST
UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED
ANSWERS | GUARANTEED TO PASS!!
The graph of which of the following basic functions is increasing on the
interval (-∞,∞)?
A. f(x)=1/x
© 2025 All rights reserved®
B. f(x)=|x|
Exampromax - Stuvia US
C. f(x)=x^2
D. f(x)=∛x
Ans: D
Identify the collection of three functions whose graphs are all symmetric
about the origin.
A. y=1/x, y=x, and y∛x
B. y=x^3, y=3, and y=1/x
C. y=|x|, y=1/x, and y=x^3
D. y=x^3, y=x^2, and y=√x
Ans: A
Identify the collection of three functions that are all even.
, 2 Exampromax - Stuvia US 2025/2026
A. y=x, y=x^2, and y=y=1/x, y=x, and y=√x
B. y=-3, y=x^2, and y=|x|
C. y=|x|, y=√x, and y=2
D. y=x^2, y=3, and y=1/x
Ans: B
© 2025 All rights reserved®
Which of the following basic functions is equivalent to the piece-wise-
defined function
Exampromax - Stuvia US
f(x){ x if x≥0
-x if x<0 ?
A. f(x)=1/x
B. f(x)=x^2
C. f(x)=x
D. f(x)=|x|
Ans: D
Which of the following statements is not true?
A. It is possible for a piecewise-defined function to have more than one y-
intercept depending on how the function is defined.
, 3 Exampromax - Stuvia US 2025/2026
B. Given that the graph of piecewise-defined function, it is sometimes
possible to find a rule that describes the graph.
C. The range of a piecewise-defined function can be (-∞,∞).
D. The domain of a piecewise-defined function can be (-∞,∞).
Ans: A
Given the graph of y=f(x), if c is a positive real number, then which of the
following statements best describes how to sketch the graph of y=f(x)+c?
© 2025 All rights reserved®
A. The graph of y=f(x)+c can be obtained by horizontally shifting the graph
Exampromax - Stuvia US
of y=f(x) to the right c units.
B. The graph of y=f(x)+c can be obtained by vertically shifting the graph of
y=f(x) down c units.
C. The graph of y=f(x)+c can be obtained by vertically shifting the graph of
y=f(x) up c units.
D. The graph of y=f(x)+c can be obtained by horizontally shifting the graph
of y=f(x) to the left c units.
Ans: C
Given the graph of y=f(x), if c is a positive real number, then which of the
following statements best describes how to sketch the graph of y=f(x+c)?
A. The graph of y=f(x+c) can be obtained by vertically shifting the graph of
y=f(x) up c units.
B. The graph of y=f(x+c) can be obtained by horizontally shifting the graph
of y=f(x) to the right c units.