Question 1

An investment is expected to pay 11% per year compounded continuously.If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.

Accepted Answer

A)  $14,384 
B)  $28,768 
C)  $57,535 
D)  $115,070 
E)  $368,953

Question 2

Find the inverse function of the function f given by the set of ordered pairs.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Sketch the graph of the function

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Use the graph of  to determine whether the function has an inverse function.

Accepted Answer

A)  No,  does not have an inverse function. 
B)  Yes,  has an inverse function.

Question 5

The present value of money is the principal  you need to invest today so that it will grow to an amount  at the end of specified time.The present value formula  is obtained by solving the compound interest formula  for  Recall that  is the number of years,  is the interest rate per year, and  is the number of compoundings per year.find the present value of amount  invested at rate  for  years, compounded  times per year.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Solve for x:  Round to 3 decimal places.

Accepted Answer

A)  9.803 
B)  15.777 
C)  20.606 
D)  -20.606 
E)  -3.268

Question 7

Solve the exponential equation algebraically.Approximate the result to three decimal places.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Determine which of the following functions is graphed below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Sketch the graph of the function

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Match the function  with its graph.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Use a graphing utility to approximate the solution to  Round to 3 decimal places.

Accepted Answer

A)  3.702 
B)  2.702 
C)  1.851 
D)  1.351 
E)  no solution

Question 12

A company's profit  for producing  units is given by  Find the inverse function  and explain what it represents.Describe the domains of  and

Accepted Answer

A)   ,  represents the number of units that must be sold to obtain the profit of  Domain of  , Domain of  
B)   ,  represents the number of units that must be sold to obtain the profit of  Domain of  , Domain of  
C)   ,  represents the number of units that must be sold to obtain the profit of  Domain of  , Domain of  
D)   ,  represents the number of units that must be sold to obtain the profit of  Domain of  , Domain of  
E)   ,  represents the number of units that must be sold to obtain the profit of  Domain of  , Domain of

Question 13

Use a calculator to evaluate  Round your result to three decimal places.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Use the graph of  to determine whether the function has an inverse function.

Accepted Answer

A)  Yes,  has an inverse function. 
B)  No,  does not have an inverse function.

Question 15

The decibel (dB) is defined as  , where P2 is the power of a particular signal and P1 is the power of some reference signal.In the case of sounds, the reference signal is a sound level that is just barely audible.How many dBs does a sound have if its power is 5500 times that of the reference sound? Round to the nearest tenth.

Accepted Answer

A)  86.1 dB 
B)  37.4 dB 
C)  16.2 dB 
D)  10.0 dB 
E)  0.0 dB

Question 16

Sketch the graph of the function

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

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 90% score on the test.

Accepted Answer

A)  5 weeks 
B)  50 weeks 
C)  29 weeks 
D)  43 weeks 
E)  25 weeks

Question 18

The demand function for a limited edition comic book is given by  Find the price  for a demand of  units.

Accepted Answer

A)  $5789.56 
B)  $258.96 
C)  $312.99 
D)  $6312.99 
E)  $210.44

Question 19

Determine whether the function has an inverse function, If it does, find its inverse function.

Accepted Answer

A)  No,  does not have an inverse function. 
B)  Yes,  has an inverse function,  
C)  Yes,  has an inverse function,  
D)  Yes,  has an inverse function,  
E)  Yes,  has an inverse function,

Question 20

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 4: Exponential and Logarithmic Functions

An investment is expected to pay 11% per year compounded continuously.If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.

Find the inverse function of the function f given by the set of ordered pairs.

Sketch the graph of the function

Use the graph of to determine whether the function has an inverse function.

Solve for x: Round to 3 decimal places.

Solve the exponential equation algebraically.Approximate the result to three decimal places.

Determine which of the following functions is graphed below.

Sketch the graph of the function

Match the function with its graph.

Use a graphing utility to approximate the solution to Round to 3 decimal places.

A company's profit for producing units is given by Find the inverse function and explain what it represents.Describe the domains of and

Use a calculator to evaluate Round your result to three decimal places.

Use the graph of to determine whether the function has an inverse function.

Sketch the graph of the function

The demand function for a limited edition comic book is given by Find the price for a demand of units.

Determine whether the function has an inverse function, If it does, find its inverse function.

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