Full Test Bank Ch3 Functions And Their Graphs - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

Back to Product

Full Test Bank Ch3 Functions And Their Graphs

College Algebra, 5e (Young)

Chapter 3 Functions and Their Graphs

3.2 Graphs of Functions; Piecewise Functions; Increasing & Decreasing Functions; Ave Rate of Change

1) Determine if the function in the graph is even, odd, or neither:

A curve is graphed in a plane. The curve decreases from the second quadrant to a point in the third quadrant, then it increases through a point on the negative horizontal axis to the origin, and then it increases through a point on the positive horizontal axis to a point in the first quadrant, after which it decreases to the fourth quadrant.

A) neither even nor odd

B) odd

C) even

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

2) Determine if the function h(x) = 7(x) with superscript (2) + 6 is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

3) Determine if the function g(x) = 3 + x is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

4) Determine if the function h(t) = 2(t) with superscript (8) - 9 is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

5) Determine if the function f (x) = (x) with superscript (3) - 10 is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

6) Determine if the function f (t) = 4|t| + (t) with superscript (2) is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

7) Determine if the function h(x) = 7|x + 10| is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

8) Determine if the function h(x) = 7|x| + 17 is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

9) Determine if the function f (x) = square root of ((x) with superscript (2) + 12) is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

10) Determine if the function f (x) = square root of (15 + x) is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

11) Determine if the function h(t) = |6t| is even, odd, or neither even nor odd.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

12) Determine if the function f (x) = square root of (17 - x) is even, odd, or neither even nor odd.

A) even

B) odd

C) neither even nor odd

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Classify functions as even, odd, or neither.

13) The cost of Internet access in a hotel is $18 for the first 25 minutes and $0.07 per minute for each additional minute. Write a function describing the cost of the service as a function of minutes used online.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

14) State (a) the domain, (b) the range, and (c) the x-intervals where the function is increasing, decreasing, and constant. Find the values of f (0) and f (1).

A line is graphed in an x y coordinate plane. The x axis ranges from negative 10 to 6 in increments of 2 and the y axis ranges from negative 4 to 8 in increments of 2. The line passes through the following in the order as follows: a point (negative 8, negative 1), an open point (negative 3, 4), an open point (0, negative 2), and a point (4, 6).

A text reads, domain: left bracket negative 8, negative 3 right parenthesis union left parenthesis negative 3, 0 right parenthesis union left parenthesis 0, 4 right bracket; range: left parenthesis negative 2, 6 right parenthesis; increasing: left parenthesis negative 8, negative 3 right parenthesis union left parenthesis 0, 4 right parenthesis; decreasing: left parenthesis negative 3, 0 right parenthesis.

f (0) = not defined, f (1) = 0

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Determine whether functions are increasing, decreasing, or constant.

15) Find the difference quotient ( f (x + h) - f (x)/h) for the function.

f (x) = -9(x) with superscript (2) + 15x - 11

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Evaluate the difference quotient for a function.

16) Graph the piecewise-defined function. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant.

A text reads, f of x equals whole left brace: negative x minus 7 for negative 8 less than or equal to x less than or equal to negative 3, 2 x plus 2 for negative 3 less than x less than or equal to 0, negative 2 x plus 2 for 0 less than x less than or equal to 4.

A)

A line is graphed in an x y coordinate plane. The x axis ranges from negative 10 to 6 in increments of 2 and the y axis ranges from negative 4 to 8 in increments of 2. The line passes through the following in the order as follows: a point (negative 8, negative 1), an open point (negative 3, negative 4), an open point (0, 2), and a point (4, negative 6).

A text reads, domain: left bracket negative 8, negative 3 right parenthesis union left parenthesis negative 3, 0 right parenthesis union left parenthesis 0, 4 right bracket; range: left bracket negative 6, 2 right parenthesis; increasing: left parenthesis negative 3, 0 right parenthesis; decreasing: left parenthesis negative 8, negative 3 right parenthesis union left parenthesis 0, 4 right parenthesis.

B)

A line is graphed in an x y coordinate plane. The x axis ranges from negative 10 to 6 in increments of 2 and the y axis ranges from negative 8 to 4 in increments of 2. The line passes through the following in the order as follows: a point (negative 8, negative 1), an open point (negative 3, negative 4), an open point (0, 2), and a point (4, negative 6).

A text reads, domain: left bracket negative 8, 4 right bracket; range: left bracket negative 2, 6 right bracket; increasing: left parenthesis negative 8, negative 3 right parenthesis union left parenthesis 0, 4 right parenthesis; decreasing: left parenthesis negative 3, 0 right parenthesis.

C)

A line is graphed in an x y coordinate plane. The x axis ranges from negative 10 to 6 in increments of 2 and the y axis ranges from negative 4 to 8 in increments of 2. The line passes through the following points in the order as follows: (negative 6, negative 1), (negative 3, 4), (0, negative 2), and (4, 6).

A text reads, domain: left bracket negative 8, 4 right bracket; range: left bracket negative 2, 6 right bracket; increasing: left parenthesis negative 8, negative 3 right parenthesis union left parenthesis 0, 4 right parenthesis; decreasing: left parenthesis negative 3, 0 right parenthesis.

D)

A line is graphed in an x y coordinate plane. The x axis ranges from negative 10 to 6 in increments of 2 and the y axis ranges from negative 4 to 8 in increments of 2. The line passes through the following in the order as follows: a closed point (negative 8, negative 1), a closed point (negative 3, negative 4), a closed point (0, negative 2), and a closed point (4, 6).

A text reads, domain: left bracket negative 8, negative 3 right parenthesis union left parenthesis negative 3, 0 right parenthesis union left parenthesis 0, 4 right bracket; range: left bracket negative 6, 2 right parenthesis; increasing: left parenthesis negative 3, 0 right parenthesis; decreasing: left parenthesis negative 8, negative 3 right parenthesis union left parenthesis 0, 4 right parenthesis.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

17) Graph the piecewise-defined function. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant.

A text reads, f of x equals whole left brace: negative x minus 3 for x less than 0, negative 5 for 0 less than or equal to x less than 4, 2 x minus 8 for 4 less than or equal to x less than or equal to 7.

Three lines are graphed in an x y coordinate plane. The x axis ranges from negative 10 to 8 in increments of 2 and the y axis ranges from negative 8 to 6 in increments of 2. The first line rises from an open point (0, negative 3) through (negative 3, 0). The second line runs between an open point (0, negative 5) and a point (4, negative 5). The third line runs between an open point (4, 0) and a point (7, 6).

A text reads, domain: left parenthesis negative infinity, 0 right parenthesis union left parenthesis 0, 7 right bracket; range: left bracket negative 5, infinity right parenthesis; increasing: left parenthesis 4, 7 right parenthesis; decreasing: left parenthesis negative infinity, 0 right parenthesis; constant: left parenthesis 0, 4 right parenthesis.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

18) Graph the piece-wise defined function.

A text reads the following: f of x equals whole left brace: 5 for x less than negative 3, and the absolute value of start expression x minus 1 end expression plus 1 for x greater than negative 3.

A line is graphed in an x y plane. The x axis ranges from negative 6 to 6 in increments of 2 and the y axis ranges from negative 2 to 7 in increments of 1. The line passes through the following: (negative 6, 5), open point (negative 3, 5), (0, 2), (1, 1), and (6, 6).

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

19) Match the graph of the piece-wise function.

A text reads the following: f of x equals whole left brace the square root of start expression 3 minus x end expression for x less than 3, and x minus 3 for x greater than or equal to 3.

A)

A curve is graphed in an x y plane. The x axis ranges from negative 2 to 8 in increments of 2 and the y axis ranges from negative 2 to 4 in increments of 1. The curve decreases through (0, 1.75) to a closed point (3, 0), and then it rises as a line through (8, 4).

B)

A curve is graphed in an x y plane. The x axis ranges from negative 2 to 8 in increments of 2 and the y axis ranges from negative 5 to 2 in increments of 1. The curve rises through (0, negative 1.75) to a closed point (3, 0), and then it falls as a line through (6, negative 3).

C)

A line is graphed in an x y plane. The x axis ranges from negative 2 to 8 in increments of 2 and the y axis ranges from negative 5 to 2 in increments of 1. The line rises through (0, negative 3) to a closed point (3, 0), and then it falls as a curve through (6, negative 2).

D)

A line is graphed in an x y plane. The x axis ranges from negative 2 to 8 in increments of 2 and the y axis ranges from negative 2 to 4 in increments of 1. The line falls through (0, 3) to a closed point (3, 0), and then it rises as a curve through (8, 2).

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

20) State the domain and range for the given graph of the piece-wise function.

Two lines are graphed in an x y plane. The x axis ranges from negative 4 to 6 in increments of 2 and the y axis ranges from negative 4 to 2 in increments of 1. The first line runs leftward from a closed point (2, 1) through (0, 1), and (negative 4, 1). The second line falls from an open point (2, negative 1) through (4, negative 3).

Range colon. Left parenthesis negative infinity, negative 1 right parenthesis union left parenthesis 1 right parenthesis.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

21) (a) Graph the piece-wise function. (b) State the domain and range in interval notation.

A text reads the following: f of x equals whole left brace: 1 for x less than or equal to 2, and 1 minus x for x greater than 2.

Two lines are graphed in an x y plane, where the x axis ranges from negative 4 to 6 in increments of 2 and the y axis ranges from negative 4 to 1 in increments of 1. The first line runs leftward from a closed point (2, 1) through (0, 1), and (negative 4, 1). The second line falls from an open point (2, negative 1) through (4, negative 3).

Domain colon. Left parenthesis negative infinity, infinity right parenthesis.

Range colon. Left parenthesis negative infinity, negative 1 right parenthesis union left parenthesis 1 right parenthesis.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

22) Given the graph of the piece-wise function, (a) state the domain and range in interval notation and (b) determine the intervals when the function is increasing, decreasing, or constant.

A line is graphed in an x y plane, where the x axis ranges from negative 4 to 4 in increments of 1 and the y axis ranges from negative 2 to 3 in increments of 1. The line passes through the following points in the following order: (negative 4, 2), a closed point (negative 1, 2), a closed point (2, 1), and (4, 1).

Domain colon. Left parenthesis negative infinity, infinity right parenthesis. Range colon. Left square bracket 1, 2 right square bracket.

Decreasing: left parenthesis negative 1, 2 right parenthesis, constant: left parenthesis negative infinity, negative 1 right parenthesis union left parenthesis 2, infinity right parenthesis.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

23) (a) Graph the piece-wise function. (b) State the domain and range in interval notation. (c) Determine the intervals when the function is increasing, decreasing, or constant.

A text reads the following: f of x equals whole left brace: the absolute value of start expression x plus 1 end expression plus 1 for x less than 1, and 2 for x greater than or equal to 1.

A line is graphed in an x y plane, where the x axis ranges from negative 6 to 6 in increments of 2 and the y axis ranges from negative 2 to 3 in increments of 1. The line passes through the following points in the following order: (negative 4, 3), (negative 1, 0), (0, 1), a closed point (1, 2), and (6, 2).

Domain colon. Left parenthesis negative infinity, infinity right parenthesis. Range colon. Left square bracket 0, infinity right parenthesis.

Increasing colon left parenthesis negative 1, 1 right parenthesis, decreasing colon left parenthesis negative infinity, negative 1 right parenthesis, constant colon left parenthesis 1, infinity right parenthesis.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Graph piecewise-defined functions.

24) Find the difference quotient ( f (x + h) - f (x)/h) for the function.

f (x) = 11x + 18

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Evaluate the difference quotient for a function.

25) Find the average rate of change for the function

f (x) = 2(x) with superscript (4) + 7

over the range x = 5 to x = 10.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Calculate the average rate of change of a function.

26) Find the average rate of change for the function

f (x) = |5x - 4|

over the range x = -2 to x = 1. Round the answer to 3 decimal places if necessary.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Calculate the average rate of change of a function.

27) Find the average rate of change for the function

f (x) = square root of (4x + 3)

over the range x = 3 to x = 7. Round the answer to 3 decimal places if necessary.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 02

Learning Objective: Calculate the average rate of change of a function.

© (2022) John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course. Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

Document Information

Document Type:
DOCX
Chapter Number:
3
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 3 Functions And Their Graphs
Author:
Cynthia Y. Young

Connected Book

Test Bank | College Algebra 5e by Young

By Cynthia Y. Young

Test Bank General
View Product →

$24.99

100% satisfaction guarantee

Buy Full Test Bank

Quick Navigation

Preview Document Info Connected Book Recommendations

Benefits

Immediately available after payment
Answers are available after payment
ZIP file includes all related files
Files are in Word format (DOCX)
Check the description to see the contents of each ZIP file
We do not share your information with any third party