Question 1

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-

Accepted Answer

A)   
B)  - 1 
C)  1 
D)

Question 2

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
-

Accepted Answer

A)   
B)   
C)   
D)  not a one-to-one function

Question 3

Find the value of N. Round to three decimal places.
-ln N = -1.4

Accepted Answer

A)  6.849 
B)  4.049 
C)  0.247 
D)  0.146

Question 4

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

Accepted Answer

A)  Yes 
B)  No

Question 5

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Solve the problem.
-The Richter Scale measures the magnitude M of an earthquake. An earthquake whose seismographic reading measures x millimeters 100 kilometers from the epicenter has magnitude  Give
The magnitude of an earthquake that resulted in a seismographic reading of 69,161 millimeters 100 kilometers
From its epicenter. Round to the nearest tenth.

Accepted Answer

A)  8.8 
B)  1.8 
C)  7.8 
D)  6.8

Question 7

Find the unknown value.
-

Accepted Answer

A)  -2 
B)  8 
C)  -8 
D)  2

Question 8

Write the equation in logarithmic form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Solve the equation without using a calculator.
-

Accepted Answer

A)   
B)  9 
C)  -3 
D)  3

Question 10

Determine whether the given functions are inverses of each other.
-

Accepted Answer

A)  Yes 
B)  No

Question 11

For the given functions f and g , find the indicated composition.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the problem.
-The function  models the amount in pounds of a particular radioactive material stored in a concrete vault, where t is the number of years since the material was put into the vault. If 600 pounds of the
Material are placed in the vault, how much time will need to pass for only 106 pounds to remain? Round to the
Nearest year.

Accepted Answer

A)  150 yr 
B)  155 yr 
C)  300 yr 
D)  160 yr

Question 13

Determine whether the function is a one-to-one function.
-{(6, 6), (13, 7), (11, 8), (9, 9)}

Accepted Answer

A)  Yes 
B)  No

Question 14

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Write the equation in logarithmic form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Solve the problem.
-If the magnitude of an earthquake is 5 on the Richter scale, how many times more intense is the earthquake than the smallest measurable activity?

Accepted Answer

A)  50 
B)  100,000 
C)  10,000 
D)  5

Question 18

Solve the equation without using a calculator.
-

Accepted Answer

A)  -2 
B)  2 
C)   
D)

Question 19

Find the common logarithm of the number. Round answer to four decimal places.
-log 0.0528

Accepted Answer

A)  -2.9412 
B)  -1.2692 
C)  -1.2857 
D)  -1.2774

Question 20

For the given functions f and g , find the indicated value.
-

Accepted Answer

A)  31 
B)  286 
C)  -3 
D)  320

Exam 13: Exponential and Logarithmic Functions

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. -

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function. -

Find the value of N. Round to three decimal places. -ln N = -1.4

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

Graph the function. -

Find the unknown value. -

Write the equation in logarithmic form. -

Solve the equation without using a calculator. -

Determine whether the given functions are inverses of each other. -

For the given functions f and g , find the indicated composition. -

Determine whether the function is a one-to-one function. -{(6, 6) , (13, 7) , (11, 8) , (9, 9) }

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Graph the function. -

Write the equation in logarithmic form. -

Solve the problem. -If the magnitude of an earthquake is 5 on the Richter scale, how many times more intense is the earthquake than the smallest measurable activity?

Solve the equation without using a calculator. -

Find the common logarithm of the number. Round answer to four decimal places. -log 0.0528

For the given functions f and g , find the indicated value. -