Question 1

Evaluate the exponential function   for   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

A chemical solution has a hydronium-ion concentration of   mole per liter. Determine the pH of the solution.

Accepted Answer

A) 10.7 
B) 8.8 
C) 21.5 
D) 9.3 
E) 4.6 
A) 10.7 
B) 8.8 
C) 21.5 
D) 9.3 
E) 4.6

Question 3

Find the domain of the function. Write the domain using interval notation.

Accepted Answer

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E)

Question 4

Sketch the graph of the function   .

Accepted Answer

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E)

Question 5

Draw the graph of the inverse relation.

Accepted Answer

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Question 6

If $6000 is invested at an annual interest rate of 7% and compounded annually, find the balance after 3 years.

Accepted Answer

A) $11,802.91 
B) $7350.26 
C) $10,309.12 
D) $13,513.15 
E) $6420.00 
A) $11,802.91 
B) $7350.26 
C) $10,309.12 
D) $13,513.15 
E) $6420.00

Question 7

Graph the function below by using its exponential form.

Accepted Answer

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B)    
C)    
D)    
E)    
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D)    
E)

Question 8

Sketch the graph of the function   .

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
C)    
D)    
E)

Question 9

How many times as great was the intensity of a South American earthquake, which measured 7.2 on the Richter scale, than a West Coast earthquake, which measured 4.2 on the Richter scale?

Accepted Answer

A) 59,049 times as great 
B) 1000 times as great 
C) 52 times as great 
D) 20 times as great 
E) 30 times as great 
A) 59,049 times as great 
B) 1000 times as great 
C) 52 times as great 
D) 20 times as great 
E) 30 times as great

Question 10

Write the exponential equation   in its logarithmic form.

Accepted Answer

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B)    
C)    
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E)

Question 11

Use algebraic procedures to find the exact solution(s)of the equation below.

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
C)    
D)    
E)

Question 12

Evaluate the logarithm   without using a calculator.

Accepted Answer

A)    
B) 2 
C) 16 
D)    
E) 3 
A)    
B) 2 
C) 16 
D)    
E) 3

Question 13

An industrial psychologist has determined that the average percent score for an employee on a test of the employee s knowledge of the company s product is given by   where t is the number of weeks on the job and P is the percent score. Estimate (to the nearest week)the expected number of weeks of employment that are necessary for an employee to earn a 95% score on the test.

Accepted Answer

A) 35 weeks 
B) 21 weeks 
C) 55 weeks 
D) 6 weeks 
E) 68 weeks 
A) 35 weeks 
B) 21 weeks 
C) 55 weeks 
D) 6 weeks 
E) 68 weeks

Question 14

A rainstorm in New York City produced rainwater with a pH of 8.1. Determine the hydronium-ion concentration of the rainwater.

Accepted Answer

A)    mol/L 
B)    mol/L 
C)    mol/L 
D)    mol/L 
E)    mol/L 
A)    mol/L 
B)    mol/L 
C)    mol/L 
D)    mol/L 
E)    mol/L

Question 15

Find the domain of the function   .

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
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D)    
E)

Question 16

Expand the given logarithmic expression. Assume all variable expressions represent positive real numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Explain how to use the graph of   to produce the graph of   .

Accepted Answer

A) Reflect the graph of f across the x-axis. 
B) Reflect the graph of f across the x- and y-axes. 
C) Shift the graph of f horizontally to the right 1 unit. 
D) Shift the graph of f vertically downward 1 unit. 
E) Reflect the graph of f across the y-axis. 
A) Reflect the graph of f across the x-axis. 
B) Reflect the graph of f across the x- and y-axes. 
C) Shift the graph of f horizontally to the right 1 unit. 
D) Shift the graph of f vertically downward 1 unit. 
E) Reflect the graph of f across the y-axis.

Question 18

Find the exponential regression function for the data below. Round parameters to the nearest hundredth.

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
C)    
D)    
E)

Question 19

The number of bacteria present in a culture at time t hours is given by   . Find the number of bacteria present when   .

Accepted Answer

A) 47,500 
B) 29,687,500 
C) 237,500 
D) 9500 
E) 5,937,500 
A) 47,500 
B) 29,687,500 
C) 237,500 
D) 9500 
E) 5,937,500

Question 20

Use algebraic procedures to find the exact solution of the equation   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
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D)    
E)

Evaluate the exponential function for .

A chemical solution has a hydronium-ion concentration of mole per liter. Determine the pH of the solution.

Find the domain of the function. Write the domain using interval notation.

Sketch the graph of the function .

Draw the graph of the inverse relation.

If $6000 is invested at an annual interest rate of 7% and compounded annually, find the balance after 3 years.

Graph the function below by using its exponential form.

Sketch the graph of the function .

How many times as great was the intensity of a South American earthquake, which measured 7.2 on the Richter scale, than a West Coast earthquake, which measured 4.2 on the Richter scale?

Write the exponential equation in its logarithmic form.

Use algebraic procedures to find the exact solution(s)of the equation below.

Evaluate the logarithm without using a calculator.

A rainstorm in New York City produced rainwater with a pH of 8.1. Determine the hydronium-ion concentration of the rainwater.

Find the domain of the function .

Expand the given logarithmic expression. Assume all variable expressions represent positive real numbers.

Explain how to use the graph of to produce the graph of .

Find the exponential regression function for the data below. Round parameters to the nearest hundredth.

The number of bacteria present in a culture at time t hours is given by . Find the number of bacteria present when .

Use algebraic procedures to find the exact solution of the equation .

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Preliminary Concepts

Filters

Exam 4: Exponential and Logarithmic Functions

Evaluate the exponential function for .

A chemical solution has a hydronium-ion concentration of mole per liter. Determine the pH of the solution.

Find the domain of the function. Write the domain using interval notation.

Sketch the graph of the function .

Draw the graph of the inverse relation.

If $6000 is invested at an annual interest rate of 7% and compounded annually, find the balance after 3 years.

Graph the function below by using its exponential form.

Sketch the graph of the function .

How many times as great was the intensity of a South American earthquake, which measured 7.2 on the Richter scale, than a West Coast earthquake, which measured 4.2 on the Richter scale?

Write the exponential equation in its logarithmic form.

Use algebraic procedures to find the exact solution(s)of the equation below.

Evaluate the logarithm without using a calculator.

A rainstorm in New York City produced rainwater with a pH of 8.1. Determine the hydronium-ion concentration of the rainwater.

Find the domain of the function .

Expand the given logarithmic expression. Assume all variable expressions represent positive real numbers.

Explain how to use the graph of to produce the graph of .

Find the exponential regression function for the data below. Round parameters to the nearest hundredth.

The number of bacteria present in a culture at time t hours is given by . Find the number of bacteria present when .

Use algebraic procedures to find the exact solution of the equation .

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Preliminary Concepts

Filters