Question 1

The function f is one-to-one. Find its inverse.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Write the word or phrase that best completes each statement or answers the question.
-If 9x = 3,what does  equal?

Accepted Answer

A)   
B) 9 
C) -9 
D)

Question 3

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

Accepted Answer

A) f(x)= ∣  ; g(x)= 8x + 8 
B) f(x)=  g(x)= 8x + 8 
C) f(x)=  g(x)= 8x - 8 
D) f(x)= x; g(x)= 8x + 8

Question 4

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) 0 
B) 10 
C)   
D) 1

Question 5

Solve the problem.
-A city is growing at the rate of 0.3% annually. If there were 4,466,000 residents in the city in 1,995, find howmany (to the nearest ten-thousand)were living in that city in 2000. Use

Accepted Answer

A) 4,530,000 
B) 180,000 
C) 12,060,000 
D) 4,560,000

Question 6

For the given functions f and g, find the requested composite function value.
- , g(x)= 15x - 8; Find (f ∘ g)(7).

Accepted Answer

A) 121,929 
B) 9,127 
C) 112,802 
D) 59,073

Question 7

Change the logarithmic expression to an equivalent expression involving an exponent.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Decide whether or not the functions are inverses of each other.
-

Accepted Answer

A) No 
B) Yes

Question 10

Write the word or phrase that best completes each statement or answers the question.
-The volume V (in cubic inches)of a cylindrical pipe with length 12 inches is given by V  where ris the radius of the piston (in inches). If the radius is increasing with time t (in minutes)according to theformula  find the volume V of the pipe as a function of the time t.

Accepted Answer

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

Question 11

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-If f(x)=  and g(x)= -1 + 5x, find (f ∘g)(x)and find the domain of (f ∘ g)(x).

Accepted Answer

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

Question 12

For the given functions f and g, find the requested composite function value.
-f(x)= 7x + 8, g(x)=  Find (g ∘ f)(3).

Accepted Answer

A) -  
B)   
C)   
D)

Question 13

For the given functions f and g, find the requested composite function.
-f(x)=  g(x)= 8x - 12; Find (f ∘ g)(x).

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Write the word or phrase that best completes each statement or answers the question.
-A grocery store normally sells 6 jars of caviar per week. Use the Poisson Distribution  to findthe probability (to three decimals)of selling 9 jars in a week. (  = x ∙ (x - 1)∙ (x - 2)∙ ... ∙ (3)(2)(1)).

Accepted Answer

A) 0.069 
B) 0.62 
C) 0.138 
D) 308.396

Question 15

Solve the problem.
-The population P of a predator mammal depends upon the number x of a smaller animal that is itsprimary food source. The population s of the smaller animal depends upon the amount a of a certain plantthat is its primary food source. If  and  , what is the relationship between thepredator mammal and the plant food source?

Accepted Answer

A)   
B)   
C)   
D)

Question 16

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 17

The function f is one-to-one. Find its inverse.
-f(x)= 4x

Accepted Answer

A)   
B)   
C)   
D)

Question 18

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

Accepted Answer

A) 24.251 
B) 27.984 
C) 9.200 
D) 256.000

Question 19

Find the domain of the composite function f ∘ g.
-f(x)=  ; g(x)=

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The profit P for selling x items is given by the equation  Express the sales amount x as afunction of the profit P.

Accepted Answer

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

Exam 6: Exponential and Logarithmic Functions

The function f is one-to-one. Find its inverse. -

Write the word or phrase that best completes each statement or answers the question. -If 9x = 3,what does equal?

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

Find the exact value of the logarithmic expression. -

Solve the problem. -A city is growing at the rate of 0.3% annually. If there were 4,466,000 residents in the city in 1,995, find howmany (to the nearest ten-thousand) were living in that city in 2000. Use

For the given functions f and g, find the requested composite function value. - , g(x) = 15x - 8; Find (f ∘ g) (7) .

Change the logarithmic expression to an equivalent expression involving an exponent. -

Graph the function. -

Decide whether or not the functions are inverses of each other. -

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -If f(x)= and g(x)= -1 + 5x, find (f ∘g)(x)and find the domain of (f ∘ g)(x).

For the given functions f and g, find the requested composite function value. -f(x) = 7x + 8, g(x) = Find (g ∘ f) (3) .

For the given functions f and g, find the requested composite function. -f(x) = g(x) = 8x - 12; Find (f ∘ g) (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. -

The function f is one-to-one. Find its inverse. -f(x) = 4x

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

Find the domain of the composite function f ∘ g. -f(x) = ; g(x) =

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The profit P for selling x items is given by the equation Express the sales amount x as afunction of the profit P.