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

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Functions And Their Graphs Test Questions & Answers Ch3

College Algebra, 5e (Young)

Chapter 3 Functions and Their Graphs

3.5 One-to-One Functions and Inverse Functions

1) Determine if the relationship f = {(18, 12), (2, 1), (-8, 1), (-20, -3)} is a one-to-one function.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

2) Determine if the relationship f = {(9, -3), (-17, 12), (5, -6), (-15, -18)} is a one-to-one function.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

3) Determine if the relationship f = {(-1, 6), (-1, -7), (15, -7), (5, 3)} is a one-to-one function.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

4) Determine if the relationship y = |x + 20| is a function. If it is a function, determine if it is a one-to-one function.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

5) Determine if the relationship x = ((y - 18)) with superscript (2) + 20 is a function. If it is a function, determine if it is a one-to-one function.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

6) Determine if the relationship y = -9(x) with superscript (11) is a function. If it is a function, determine if it is one-to-one function.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

7) Determine if the relationship y = (-10/x), x > 0 is a function. If it is a function, determine if it is one-to-one.

A) not a function

B) a one-to-one function

C) a function, but not one-to-one

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

8) The function y = 9 - 2x is a one-to-one function. Find its inverse.

A) y = - (1/2)x + (9/2)

B) y = (1/2)x + (9/2)

C) y = (1/9 - 2x)

D) y = (1/9) - (1/2x)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

9) The function f (x) = (x) with superscript (2) + 3, x ≥ 0 is a one-to-one function. Find its inverse.

A) y = x + 3

B) y = square root of (x - 3)

C) y = square root of (x + 3)

D) y = (1/(x) with superscript (2) + 3)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

10) The function f (x) = ((x - 3)) with superscript (2) + 8, x ≥ 3 is a one-to-one function. Find its inverse.

A) y = 3 + square root of (x - 8)

B) y = square root of (x) + 5

C) y = (1/((x - 3)) with superscript (2) + 8)

D) y = 3 - square root of (x - 8)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

11) The function f (x) = square root of (5x - 6), x ≥ (6/5) is a one-to-one function. Find its inverse.

A) y = (1/square root of (5x - 6))

B) y = ((x) with superscript (2) + 6/5)

C) y = (square root of (x) + 6/5)

D) y = ((x) with superscript (2) - 6/5)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

12) The function f (x) = (15/x - 7) x > 7, is a one-to-one function. Find its inverse.

A) y = (7x + 15/x)

B) y = 7

C) y = (x - 7/15)

D) y = (7x - 15/x)

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

13) The function f (x) = (5x - 9/x + 8), x > -8 is a one-to-one function. Find its inverse.

A) y = (8x + 9/x - 8)

B) y = -8

C) y = - (8x + 9/x - 8)

D) y = (5x - 9/x + 8)

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

14) Determine if the relationship y = (2/(x) with superscript (13)), x > 0 is a function. If it is, determine if it is a one-to-one function.

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

15) The function f (x) = square root of (18x - 16), x ≥ (8/9) is a one-to-one function. Find its inverse.

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

16) Determine whether the function is a one-to-one function.

A curve function is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 14, in increments of 1. The y axis ranges from negative 4 to 4, in increments of 0.5. The curve increases concave down at (5, 0), passing through (9, 2) and (14, 3). All values are estimated.

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

17) Determine whether the function is a one-to-one function.

A parabola is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 4, in increments of 0.5. The y axis ranges from negative 2 to 12, in increments of 1. The parabola opens upward, with its vertex at (0, 5). The parabola passes through the points (negative 2.6, 12) and (2.6, 12). All values are estimated.

A) not a one-to-one function

B) a one-to-one function

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

18) Given the graph of a one-to-one function: plot its inverse.

A curve function is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 4, in increments of 0.5. The y axis ranges from negative 4 to 2, in increments of 0.5. The curve decreases concave up at (negative 1, 0), passing through (0, negative 1) and (4, negative 2.3). All values are estimated.

Two curves are graphed on an x y coordinate plane. Both the axes range from negative 4 to 6, in increments of 0.5. The first curve labeled f decreases concave up through the points (negative 1, 0), (0, negative 1) and (6, negative 2.5). The second curve labeled f inverse decreases concave up through the points (negative 2.5, 6), (negative 1, 0) and ends at (0, negative 1). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Graph the inverse function given the graph of the function.

19) Given the graph of a one-to-one function: plot its inverse.

A line is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 6, in increments of 0.5. The y axis ranges from negative 4 to 4, in increments of 0.5. The line slopes downward through the points (0, 1) and (2, 0). All values are estimated.

A)

A line function is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 3, in increments of 0.5. The y axis ranges from negative 3 to 4, in increments of 0.5. The line slopes downward through the points (0, 2) and (1, 0). All values are estimated.

B)

A line is graphed on an x y coordinate plane. The x axis ranges from negative 3 to 2, in increments of 0.5. The y axis ranges from negative 4 to 3, in increments of 0.5. The line slopes downward through the points (negative 1, 0) and (0, negative 2). All values are estimated.

C)

A line is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 3, in increments of 0.5. The y axis ranges from negative 4 to 3, in increments of 0.5. The line slopes upward through the points (0, negative 2) and (1, 0). All values are estimated.

D)

A line is graphed on an x y coordinate plane. The x axis ranges from negative 3 to 2, in increments of 0.5. The y axis ranges from negative 3 to 4, in increments of 0.5. The line slopes upward through the points (negative 1, 0) and (0, 2). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Graph the inverse function given the graph of the function.

20) Given the graph of a one-to-one function: plot its inverse.

A curve function is graphed on an x y coordinate plane. The x axis ranges from negative 3 to 3, in increments of 0.5. The y axis ranges from negative 3 to 2, in increments of 0.5. The curve increases concave up through (negative 3, negative 1.9) to (0, negative 0.5) and then increases concave down through (3, 1). All values are estimated.

A curve function is graphed on an x y coordinate plane. Both the axes range from negative 3 to 3, in increments of 0.5. The curve increases concave down through (negative 2, negative 3) to (negative 0.5, 0) and then increases concave up through (1, 3). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Graph the inverse function given the graph of the function.

21) Given the graph of a one-to-one function: plot its inverse.

A line is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 3, in increments of 0.5. The y axis ranges from negative 4 to 4, in increments of 0.5. The line slopes downward through the points (negative 1, 0) and (0, negative 1.5). All values are estimated.

A)

A line function is graphed on an x y coordinate plane. The x axis ranges from negative 5 to 3, in increments of 0.5. The y axis ranges from negative 4 to 3, in increments of 0.5. The line slopes downward through the points (negative 1.5, 0) and (0, negative 1). All values are estimated.

B)

A line is graphed on an x y coordinate plane. The x axis ranges from negative 5 to 3, in increments of 0.5. The y axis ranges from negative 3 to 4, in increments of 0.5. The line slopes upward through the points (negative 1.5, 0) and (0, 1). All values are estimated.

C)

A line is graphed on an x y coordinate plane. The x axis ranges from negative 3 to 5, in increments of 0.5. The y axis ranges from negative 4 to 3, in increments of 0.5. The line slopes upward through the points (0, negative 1) and (1.5, 0). All values are estimated.

D)

A line is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 6, in increments of 0.5. The y axis ranges from negative 4 to 4, in increments of 0.5. The line slopes downward through the points (0, 1) and (2, 0). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Graph the inverse function given the graph of the function.

22) A student work at Target making $12.90 per hour and the weekly number of hours worked per week, x, varies. If Target withholds 16% of his earnings for taxes and Social Security, write a function, E(x), that expresses the student's take-home pay each week. Find the inverse function, (E) with superscript (-1)(x). What does the inverse function tell you?

(E) with superscript (-1)(x) = x/10.84

The inverse function gives the number of hours worked per week.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

23) The function f (x) = square root of (7x - 2), x ≥ (2/7) is a one-to-one function. Verify that y = ((x) with superscript (2) + 2/7) is its inverse.

A) The function is not the inverse of f (x)

B) The function is the inverse of f (x)

C) The function f (x) does not have an inverse

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

24) The function f (x) = ((x - 1)) with superscript (2) + 6, x ≥ 1 is a one-to-one function. Verify that square root of (x) + 5 is its inverse.

A) The function is not the inverse of f (x)

B) The function is the inverse of f (x)

C) The function f (x) does not have an inverse

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Find the inverse of a function.

25) The relationship, f (x) = {table ( (x + 7 x ≤ -7)(|x + 7| -7 < x < 0)((x) with superscript (2) + 7 x ≥ 0) ), is a function. Determine if it is a one-to-one function.

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 05

Learning Objective: Determine whether a function is a one-to-one function.

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

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