Question 1

Approximate the value using a calculator. Express answer rounded to three decimal places.
-

Accepted Answer

A) 837.605 
B) 659.061 
C) 19.698 
D) 414.617

Question 2

The function f is one-to-one. Find its inverse.
-f(x)= 7x + 3

Accepted Answer

A)   
B)   
C)   
D)

Question 3

For the given functions f and g, find the requested composite function.
-f(x)=  , g(x)= 3x + 5; Find (g ∘ f)(x).

Accepted Answer

A) x 
B) 3x + 10 
C) x + 10 
D)

Question 4

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=  , g(x)=

Accepted Answer

A) Yes, yes 
B) No, no 
C) No, yes 
D) Yes, no

Question 5

Find functions f and g so that f ∘ g = H.
-H(x)=

Accepted Answer

A)   
B)   
C) f  
D)

Question 6

Solve the problem.
-The function  can be used to determine the milligrams D of a certain drug in a patientʹsbloodstream h hours after the drug has been given. How many milligrams (to two decimals)will bepresent after 8 hours?

Accepted Answer

A) 0.37 mg 
B) 220.79 mg 
C) 6.28 mg 
D) 0.22 mg

Question 7

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-f(x)=

Accepted Answer

A)   
B) f(x): D is all real numbers, R is all real numbers;  : D is all real numbers, R is all real numbers 
C)   
D)

Question 8

Solve the equation.
-

Accepted Answer

A) {-4} 
B) {4} 
C)   
D)

Question 9

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The weight W of a birdʹs brain (in ounces)is related to the volume V of the birdʹs skull (in cubic ounces)through the function  (a)Express the skull volume V as a function of brain weight W.(b)Predict the skull volume of a bird whose brain weighs 3 oz.

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Solve the problem.
-Suppose that f(x)=  . If f(x)=  what is x?

Accepted Answer

A) -5 
B) 5 
C) 2 
D) -2

Question 12

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Approximate the value using a calculator. Express answer rounded to three decimal places.
-

Accepted Answer

A) 5.462 
B) 4.899 
C) 6.000 
D) 32.000

Question 14

The graph of an exponential function is given. Match the graph to one of the following functions.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=  , g(x)=

Accepted Answer

A) Yes, yes 
B) No, no 
C) No, yes 
D) Yes, no

Question 16

Solve the equation.
-

Accepted Answer

A) {-11} 
B) {-8} 
C)   
D) {10}

Question 17

Write the word or phrase that best completes each statement or answers the question.
-The function  models the amount in pounds of a particular radioactive material storedin a concrete vault, where x is the number of years since the material was put into the vault. Find theamount of radioactive material in the vault after 190 years. Round to the nearest whole number.

Accepted Answer

A) 214 pounds 
B) 555 pounds 
C) 760 pounds 
D) 211 pounds

Question 18

For the given functions f and g, find the requested composite function value.
-f(x)= 2x + 6, g(x)=  ; Find

Accepted Answer

A) 16,901 
B) 136 
C) 785 
D) 34

Question 19

The graph of an exponential function is given. Match the graph to one of the following functions.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 6: Exponential and Logarithmic Functions

Approximate the value using a calculator. Express answer rounded to three decimal places. -

The function f is one-to-one. Find its inverse. -f(x) = 7x + 3

For the given functions f and g, find the requested composite function. -f(x) = , g(x) = 3x + 5; Find (g ∘ f) (x) .

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x) = , g(x) =

Find functions f and g so that f ∘ g = H. -H(x) =

Solve the problem. -The function can be used to determine the milligrams D of a certain drug in a patientʹsbloodstream h hours after the drug has been given. How many milligrams (to two decimals) will bepresent after 8 hours?

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -f(x) =

Solve the equation. -

Graph the function. -

Solve the problem. -Suppose that f(x) = . If f(x) = what is x?

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -

Approximate the value using a calculator. Express answer rounded to three decimal places. -

The graph of an exponential function is given. Match the graph to one of the following functions. -

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x) = , g(x) =

Solve the equation. -

For the given functions f and g, find the requested composite function value. -f(x) = 2x + 6, g(x) = ; Find

The graph of an exponential function is given. Match the graph to one of the following functions. -

Graph the function. -