Question 1

Solve the problem.
-Two bacteria are placed in a petri dish. The population will double every day. The formula for the number of bacteria in the dish on day t is  where t is the number of days after the two bacteria are placed in the dish. How many bacteria are in the dish six
Days after the two bacteria are placed in the dish?

Accepted Answer

A)  128 
B)  72 
C)  10 
D)  24

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

Solve the problem.
-The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential
Growth model A  . By what percentage is the account increasing each year?

Accepted Answer

A)  5.9% 
B)  5.4% 
C)  5.6% 
D)  5.8%

Question 4

Find the unknown value.
-

Accepted Answer

A)  8 
B)   
C)   
D)  -8

Question 5

Write the equation in logarithmic form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

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

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Write the equation in logarithmic form.
-9

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Evaluate.
-

Accepted Answer

A)  0 
B)  -11 
C)   
D)  11

Question 9

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

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

Accepted Answer

A)  Yes 
B)  No

Question 12

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

Accepted Answer

A)  10 
B)  -10 
C)   
D)  no solution

Question 13

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places.
-2754

Accepted Answer

A)  3.4400 
B)  7.9208 
C)  3.4384 
D)  3.4415

Question 14

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

Accepted Answer

A)   
B)  4 
C)   
D)  -4

Question 15

Write as a logarithm of a single expression.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Write the equation in logarithmic form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 17

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

Accepted Answer

A)   
B)  2 
C)  0 
D)  no solution

Question 18

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 400 pounds of the
Material are initially put into the vault, how many pounds will be left after 190 years? Round to the nearest
Pound.

Accepted Answer

A)  422 lb 
B)  95 lb 
C)  288 lb 
D)  93 lb

Question 19

Solve the problem.
-The value V of a car that is t years old can be modeled by  According to the model, when will the car be worth $6000? Round to the nearest tenth of a year.

Accepted Answer

A)  51.1 yr 
B)  6.0 yr 
C)  0.9 yr 
D)  1.8 yr

Question 20

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

Accepted Answer

A)  Yes 
B)  No

Exam 13: Exponential and Logarithmic Functions

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

Find the unknown value. -

Write the equation in logarithmic form. -

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

Write the equation in logarithmic form. -9

Evaluate. -

Graph the function. -

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same axes. -

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

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

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places. -2754

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

Write as a logarithm of a single expression. -

Write the equation in logarithmic form. -

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

Solve the problem. -The value V of a car that is t years old can be modeled by According to the model, when will the car be worth $6000? Round to the nearest tenth of a year.

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