Question 1

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

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Find the domain of the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Find the domain of the function.
-

Accepted Answer

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

Question 5

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) -2 
B) 2 
C) 6 
D) -6

Question 6

Evaluate the expression using the graphs of y = f(x)and y = g(x).
-Evaluate (fg)(1).

Accepted Answer

A) 6 
B) -5 
C) 3 
D) 0

Question 7

Find the inverse of the function and state its domain and range .
-{(-3, 4), (-1, 5), (0, 2), (2, 6), (5, 7)}

Accepted Answer

A) {(4, -3), (5, -1), (2, 0), (6, 2), (7, 5)} D = {2, 4, 5, 6, 7}; R = {-3, -1, 0, 2, 5} 
B) {(3, 4), (1, 5), (0, 2), (-2, 6), (-5, 7)}; D = {3, 1, 0, -2, -5}; R = {2, 4, 5, 6, 7} 
C) {(-3, -4), (-1, -5), (0, -2), (2, -6), (5, -7)}; D = {-3, -1, 0, 2, 5}; R = {-7, -6, -5, -4, -2} 
D) {(3, -4), (1, -5), (0, -2), (-2, -6), (-5, -7)}; D = {3, 1, 0, -2, -5}; R = {-7, -6, -5, -4, -2}

Question 8

Solve the equation.
-

Accepted Answer

A) {0} 
B) {1} 
C)   
D)

Question 9

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

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Solve the problem.
-Two bacteria are placed in a petri dish. The population will double every day. The formula for the number obacteria 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 thedish six days after the two bacteria are placed in the dish?

Accepted Answer

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

Question 11

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

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the equation.
-2

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Use the horizontal line test to determine whether the function is one -to-one.
-

Accepted Answer

A) Yes 
B) No

Question 14

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

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

Accepted Answer

A) Yes 
B) No

Question 16

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

Accepted Answer

A) No 
B) Yes 
C) Yes; Exclude the value {-3}

Question 17

Decide whether or not the functions are inverses of each other.
-f(x)= 8x - 8, g(x)=  x + 1

Accepted Answer

A) Yes 
B) No

Question 18

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

Accepted Answer

A)   
B) f  
C) f  
D)

Question 19

Find the exact value of the logarithmic expression.
-

Accepted Answer

A)   
B) 12 
C)   
D) 1

Question 20

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

Accepted Answer

A)   
B)   
C)   
D)

Exam 6: Exponential and Logarithmic Functions

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

Find the domain of the function. -

Graph the function. -

Find the domain of the function. -

Find the exact value of the logarithmic expression. -

Evaluate the expression using the graphs of y = f(x) and y = g(x) . -Evaluate (fg) (1) .

Find the inverse of the function and state its domain and range . -{(-3, 4) , (-1, 5) , (0, 2) , (2, 6) , (5, 7) }

Solve the equation. -

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

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

Solve the equation. -2

Use the horizontal line test to determine whether the function is one -to-one. -

Graph the function. -

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

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

Decide whether or not the functions are inverses of each other. -f(x) = 8x - 8, g(x) = x + 1

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

Find the exact value of the logarithmic expression. -

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