Question 1

Find a formula for the inverse of the function described below.
-An organization determines that the cost per person of chartering a bus is given by the formula  where x is the number of people in the group and C(x)is in dollars.

Accepted Answer

A)   
B)   
C)   
D)

Question 2

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

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Solve the equation.
-

Accepted Answer

A) {-2} 
B)   
C) {2} 
D)

Question 5

The graph of a one-to-one function f is given. Draw the graph of the inverse function f  as a dashed line or curve.
-

Accepted Answer

A)   
B)

Question 6

Solve the problem.
-The rabbit population in a forest area grows at the rate of 6% monthly. If there are 210 rabbits inSeptember, find how many rabbits (rounded to the nearest whole number)should be expected by nextSeptember. Use

Accepted Answer

A) 429 
B) 408 
C) 442 
D) 416

Question 7

Indicate whether the function is one-to-one.
-{(14, -17), (13, -6), (-16, -2)}

Accepted Answer

A) Yes 
B) No

Question 8

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) 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 9

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) -3 
B) 3 
C) 49 
D) -49

Question 10

Change the exponential expression to an equivalent expression involving a logarithm.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

For the given functions f and g, find the requested composite function value.
- ; Find (g ∘ g)(1).

Accepted Answer

A) 199 
B) 16 
C) 67 
D) 10

Question 12

Find the inverse of the function and state its domain and range .
-{(7, 2), (5, 3), (3, 4), (1, 5)}

Accepted Answer

A) {(2, 7), (3, 5), (4, 3), (5, 1)}; D = {2, 3, 4, 5 }; R = {7, 5, 3, 1} 
B)   
C) {(3, 2), (2, 3), (7, 5), (3, 4)}; D = {(3, 2, 7}; R = {(2, 3 5, 4} 
D) {(3, 2), (5, 3), (7, 3), (3, 4)}; D = {3, 5, 7}; R = {2, 3, 4}

Question 13

For the given functions f and g, find the requested composite function.
-f(x)= 3x + 8, g(x)= 3x - 1; Find (f ∘ g)(x).

Accepted Answer

A) 9x + 5 
B) 9x + 11 
C) 9x + 7 
D) 9x + 23

Question 14

The graph of a one-to-one function f is given. Draw the graph of the inverse function f  as a dashed line or curve.
-f(x)= 4x

Accepted Answer

A)   
B)

Question 15

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) 4 
B) 40 
C)   
D) -4

Question 16

Solve the equation.
-

Accepted Answer

A) {-3} 
B)   
C) {3} 
D)

Question 17

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

Accepted Answer

A) 42.556 
B) 43.711 
C) 10.367 
D) 36.462

Question 18

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

Accepted Answer

A)   
B)   
C)   
D)

Question 19

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

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Evaluate the expression using the values given in the table.
-

Accepted Answer

A) 1 
B) 8 
C) 7 
D) Undefined

Exam 6: Exponential and Logarithmic Functions

Find a formula for the inverse of the function described below. -An organization determines that the cost per person of chartering a bus is given by the formula where x is the number of people in the group and C(x) is in dollars.

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

Graph the function. -

Solve the equation. -

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -

Solve the problem. -The rabbit population in a forest area grows at the rate of 6% monthly. If there are 210 rabbits inSeptember, find how many rabbits (rounded to the nearest whole number) should be expected by nextSeptember. Use

Indicate whether the function is one-to-one. -{(14, -17) , (13, -6) , (-16, -2) }

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. -

Find the exact value of the logarithmic expression. -

Change the exponential expression to an equivalent expression involving a logarithm. -

For the given functions f and g, find the requested composite function value. - ; Find (g ∘ g) (1) .

Find the inverse of the function and state its domain and range . -{(7, 2) , (5, 3) , (3, 4) , (1, 5) }

For the given functions f and g, find the requested composite function. -f(x) = 3x + 8, g(x) = 3x - 1; Find (f ∘ g) (x) .

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -f(x) = 4x

Find the exact value of the logarithmic expression. -

Solve the equation. -

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) =

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

Evaluate the expression using the values given in the table. -