Verified Test Bank Ch5 Exponential And Logarithmic Functions - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Verified Test Bank Ch5 Exponential And Logarithmic Functions

College Algebra, 5e (Young)

Chapter 5 Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs

1) Approximate the number (8) with superscript (2/9). Round your answer to two decimal places.

A) 1.59

B) 11,585.24

C) 64.00

D) 1.26

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

2) Approximate the number (3) with superscript (0.5). Round your answer to two decimal places.

A) 0.58

B) 1.73

C) -1.73

D) -0.58

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

3) Approximate the number (3) with superscript (π). Round your answer to two decimal places.

A) 9.42

B) 1.05

C) 31.54

D) 0.95

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

4) Approximate the number (3) with superscript (square root of (π)). Round your answer to two decimal places.

A) 31.54

B) 9.42

C) 5.32

D) 7.01

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

5) Approximate the number (6) with superscript (square root of (3)). Round your answer to two decimal places.

A) 22.27

B) 10.39

C) 216.00

D) 4.24

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

6) Given f (x) = (2) with superscript (3-x), evaluate f (1.8). Round your answer to two decimal places.

A) 2.40

B) 2.30

C) 27.86

D) 0.60

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

7) Given f (x) = ((1/2)) with superscript (2x-1), evaluate f (-0.1). Round your answer to two decimal places.

A) -0.20

B) 0.57

C) 0.87

D) 2.30

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

8) Find the y-intercept for the exponential function f (x) = (-6) with superscript (-x) + 4.

A) (0, 3)

B) (0, -3)

C) (0, 4)

D) (0, 5)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.; Graph exponential functions.

9) Find the y-intercept for the exponential function f (x) = (4) with superscript (x) - 8.

A) (0, 12)

B) (0, -8)

C) (0, -4)

D) (0, -7)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.; Graph exponential functions.

10) Find the y-intercept for the exponential function f (x) = (-7) with superscript (x+1) + 6.

A) (0, 5)

B) (0, -1)

C) (0, 7)

D) (0, 13)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.; Graph exponential functions.

11) If Gabriel deposits $18,500 in a savings account that earns 3.1% interest per year compounded quarterly, how much money can he expect to be in the account in 2 years? Round your answer to two decimal places.

A) $19,647.00

B) $1,822,882.13

C) $19,678.60

D) $17,383.63

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

12) If Ashley deposits $10,500 into a savings account that earns 2.7% interest per year compounded monthly, how much money can she expect to be in the account in 3 years? Round your answer to two decimal places.

A) $11,384.86

B) $11,350.50

C) $9682.15

D) $884.86

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

13) If Vu deposits $13,500 in a savings account that earns 1.5% interest per year compounded quarterly, how much money can she expect to be in the account in 3 years? Round your answer to two decimal places.

A) $14,107.50

B) $620.19

C) $12,904.87

D) $14,120.19

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

14) Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

(9) with superscript (1/2)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

15) Given f (x) = (5) with superscript (2x-2), find f (3.81). Round your answer to two decimal places.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

16) If Alicia deposits $1,250 in a savings account that earns 5.4% interest per year compounded annually, how much money can she expect to be in the account in 3 years? Round your answer to two decimal places.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

17) Graph the exponential function.

f (x) =( 2) with superscript (-x)

A curve 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 1 to 9, in increments of 0.5. The curve decreases concave up passing through a labeled point (negative 1, 2) and other points (negative 3, 7), (0, 1), (2, 0.5), and (3, 0.2). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

18) Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.

f (x) = -(2) with superscript (-x) - 1

horizontal asymptote is y = -1

A curve and a dashed line are 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 9 to 4, in increments of 1. The dashed line is a horizontal asymptote, passing through (0, negative 1). The curve increases concave down toward the horizontal asymptote, passing through a labeled point (negative 1, negative 3) and other points (negative 3, negative 8), (0, negative 2), (1, negative 1.5), and (3, negative 1). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

19) Graph the exponential function.

f (x) = (10) with superscript ( x)

A)

A curve is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 0.25. The y axis ranges from negative 1 to 16, in increments of 1. The curve increases concave up passing through a labeled point (1, 10) and other points (negative 2, 0), (0, 1), (0.5, 3), and (1.25, 12). All values are estimated.

B)

A curve is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 0.25. The y axis ranges from negative 16 to 1, in increments of 1. The curve decreases concave down, passing through a labeled point (1, negative 10) and other points (negative 2, 0), (0, negative 1), (0.5, negative 2), and (1.75, negative 16). All values are estimated.

C)

A curve is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 0.25. The y axis ranges from negative 1 to 16, in increments of 1. The curve decreases concave up passing through a labeled point (1, 0) and other points (negative 1, 7), (0, 1), (0.5, 0.4), and (1.5, 0). All values are estimated.

D)

A curve is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 0.25. The y axis ranges from negative 16 to 1, in increments of 1. The curve increases concave down, passing through a labeled point (negative 1, negative 10) and other points (negative 1.5, negative 16), (0, negative 1), (1, 0), and (2, 0). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

20) Match the graph to the exponential function.

A curve and a dashed line are graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 1. The y axis ranges from negative 12 to 0, in increments of 2. The dashed line is a horizontal asymptote, passing through (0, 1). The curve decreases concave down from the horizontal asymptote, passing through a labeled point (negative 1, 0.9) and other points (negative 2, 1), (0, 0), (1, negative 4), and (2, negative 12). All values are estimated.

A) f (x) = -(4) with superscript ( x) + 1

B) f (x) = -(4) with superscript (-x) + 1

C) f (x) = (4) with superscript ( x) + 1

D) f (x) = (4) with superscript (-x) - 1

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

21) A radioactive isotope of selenium,( ) with superscript (75) Se, used in the creation of medical images of the pancreas, has a half-life of 119.77 days. If 150 milligrams are given to a patient, how many milligrams are left after 10 days?

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

22) If you put $34,100 in a savings account that pays 3.8% a year compounded continuously, how much will you have in the account in 11 years?

A) $22,450.15

B) $51,794.07

C) $51,795.19

D) $389,628.09

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

23) Approximate the number (e) with superscript (-2.1). Round your answer to two decimal places.

A) 0.12

B) -5.71

C) -0.12

D) 8.17

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Utilize the natural base e.

24) Approximate the number (e) with superscript (square root of (3)). Round your answer to two decimal places.

A) 4.48

B) 4.71

C) 5.65

D) 10.04

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Utilize the natural base e.

25) Approximate the number (e) with superscript ((square root of (5)/6)). Round your answer to two decimal places.

A) 2.49

B) 1.01

C) 1.56

D) 1.45

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Utilize the natural base e.

26) Approximate the number (e) with superscript ((5/7)). Round your answer to two decimal places.

A) 21.20

B) 2.04

C) 1.94

D) 4.06

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Utilize the natural base e.

27) For the exponential function f (x) = 1 + (e) with superscript (x-3), state the y-intercept. Round your answer to two decimal places.

A) (0, 21.09)

B) (0, 2)

C) (0, 1.05)

D) (0, -2)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

28) For the exponential function f (x) = 1 - (e) with superscript (1-x), state the y-intercept. Round your answer to two decimal places.

A) (0, -1.72)

B) (0, 0)

C) (-1.72, 0)

D) (0, 0.63)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

29) For the exponential function f (x) = 1 - (e) with superscript (-9x), state the y-intercept. Round your answer to two decimal places.

A) (0, -1.72)

B) (0, 25.46)

C) (-1.72, 0)

D) (0, 0)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

30) For the exponential function f (x) = 6 - (e) with superscript (-x), state the y-intercept. Round your answer to two decimal places.

A) (0, 3.28)

B) (0, 5)

C) (0, 8.72)

D) (3.28, 0)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

31) If Juan deposits $4200 in a savings account that earns 2.3% compounded continuously, how much money should he expect to be in the account in 3 years? Round your answer to two decimal places.

A) $300.03

B) $4500.03

C) $4489.80

D) $12,889.80

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

32) If Diane deposits $16,713 in a savings account that earns 3.5% interest per year compounded continuously, how much money should she expect to be in the account after 13 years?

A) $24,317.42

B) $316,126.40

C) $26,342.59

D) $9629.59

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

33) Approximate the number (e) with superscript ((-4/square root of (23))). Round your answer to two decimal places.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Utilize the natural base e.

34) If Vanessa deposits $4,500 in a savings account that earns 3.25% interest per year compounded continuously, how much money should she expect to be in the account in 10 years?

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Solve compound interest problems.

35) State the y-intercept and horizontal asymptote, then graph the exponential function. Round the answer for the y-intercept to three decimal places.

f (x) = (e) with superscript (-3x )

horizontal asymptote: y = 0

A curve is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 2. The y axis ranges from 0 to 14, in increments of 2. The curve decreases concave up through the points (negative 1, 14), (negative 0.5, 6), (0, 1), (0.5, 0.8), and (1, 0). All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

36) Graph the exponential function.

f (x) = (e) with superscript ( x ) + 1

A curve and a dashed line are 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 1 to 10, in increments of 0.5. The dashed line is a horizontal asymptote, passing through (0, 1). The curve increases concave up through the points (negative 3, 1), (0, 2), (1, 3), (1.5, 4) and (2, 7). All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

37) Match the graph with the function.

f (x) = (e) with superscript ( x )

A)

A curve 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 1 to 8, in increments of 0.5. The curve increases concave up through the points (negative 4, 0), (negative 1, 0.5), (0, 1), (1, 2), and (2, 5). All values are estimated.

B)

A curve 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 8 to 1, in increments of 0.5. The curve decreases concave down through the points (negative 3, 0), (negative 1, negative 0.5), (0, negative 1), (1, negative 2), and (2, negative 6). All values are estimated.

C)

A curve 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 1 to 8, in increments of 0.5. The curve decreases concave up through the points (negative 2, 6), (negative 1, 2), (0, 1), (2.5, 0), and (3.5, 0). All values are estimated.

D)

A curve 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 8 to 1, in increments of 0.5. The curve increases concave down through the points (negative 2, negative 6), (negative 1, negative 2), (0, negative 1), (2.5, 0), and (3.5, 0). All values are estimated.

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

38) Match the graph to the exponential function.

A curve is graphed on an x y coordinate plane. The x axis ranges from negative 2 to 2, in increments of 1. The y axis ranges from negative 8 to 0, in increments of 1. The curve increases concave down through the points (negative 1, negative 8), (negative 0.5, negative 3), (0, negative 1), (1, negative 0.1), and (2, 0). All values are estimated.

A) f (x) = -(e) with superscript (-2x )

B) f (x) = -(e) with superscript (2x )

C) f (x) = (e) with superscript (-2x )

D) f (x) = (e) with superscript (-2x - 1 )

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Graph exponential functions.

39) Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

((1/9)) with superscript (1/2)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

40) Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

(16) with superscript (-1/4)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

41) Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

((1/32)) with superscript (0)

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Evaluate exponential functions.

42) State the domain and range for the function. Express in interval notation.

f (x) = (e) with superscript (-0.6x) + 7

Range: (7, ∞)

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Find the domain and range of exponential functions.

43) State the domain and range for the function. Express in interval notation.

f (x) = -(e) with superscript (0.8x) - 4

Range: (-∞, -4)

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Find the domain and range of exponential functions.

44) State the domain and range for the function. Express in interval notation.

f (x) = (7.8) with superscript (5.4x) - 9

Range: (-9, ∞)

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Find the domain and range of exponential functions.

45) State the domain and range for the function. Express in interval notation.

f (x) = -(5.8) with superscript (-8x) - 9

Range: (-∞, -9)

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 01

Learning Objective: Find the domain and range of exponential functions.

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Document Type:
DOCX
Chapter Number:
5
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 5 Exponential And Logarithmic Functions
Author:
Cynthia Y. Young

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