Question 1

Let Be a linear function with a negative slope and Be a different linear function with a positive slope. Describe the graph of  
.
A) A pair of curves that approach both a horizontal and a vertical asymptote.
B) A parabola that opens downward.
C) A parabola that opens upward.
D) Another linear function.

Accepted Answer

D

Question 2

Let   and for positive constants a and b. Let  . If  and  , what is  ?

Accepted Answer

50

Question 3

Is the quotient of two even functions odd, even, or neither?

Accepted Answer

even

Question 4

For   , does  ?

Accepted Answer

The answer of For   , does  ?...

Question 5

The following table gives 3 functions, f, g, and h.  Which of the following statements is true?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of The following table gives 3 functions, f,...

Question 6

The following table gives 3 functions, f, g, and h.
  Given that f is linear, use the relationships between f, g, and h to find aformula for h:

Accepted Answer

The answer of The following table gives 3 functions, f,...

Question 7

The function Is shown in the first figure.  Which transformation of  is shown in the second figure?
A) 
B) 
C) 
D)

Accepted Answer

The answer of The function Is shown in the first...

Question 8

The following table gives values for the functions f, g, and h, three functions defined only for the values x = 0, 1, . . . , 5. Based on the table, what is  ?

Accepted Answer

The answer of The following table gives values for the...

Question 9

Let   and  . What is  ?

Accepted Answer

The answer of Let   and  . What...

Question 10

The functions  and  are defined by the graph below. The dashed graph is  and the solid graph is  .
  Evaluate  .

Accepted Answer

The answer of The functions  and  are defined...

Question 11

Let And What is  ?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Let And What is  ?
A) 
B)...

Question 12

Let And What is  ?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Let And What is  ?
A) 
B)...

Question 13

A) 
B) 
C) 
D)

Accepted Answer

The answer of  
A) 
B) 
C) 
D) ...

Question 14

Find   if  and  .

Accepted Answer

The answer of Find   if  and ...

Question 15

Let   and  Find a simplified formula for  .

Accepted Answer

The answer of Let   and  Find a...

Question 16

Let   and  . Find a simplified formula for the function

Accepted Answer

The answer of Let   and  . Find...

Question 17

Let   be the number of men and  be the number of women residing in a certain town in year t. Let  be the average income, in dollars, of residents of that town in year t. If  and  , find a simplified formula for the total amount of money earned by all adult residents of the town in year t.

Accepted Answer

The answer of Let   be the number of...

Question 18

Let   be the number of men and let  be the number of women residing in a certain town in year t. Let  be the average income, in dollars, of residents of that town in year t. If  and  , find a simplified formula for the total amount of money earned by all adult residents of the town in year 3.

Accepted Answer

The answer of Let   be the number of...

Question 19

Find a simplified formula for h given

Accepted Answer

The answer of Find a simplified formula for h given...

Question 20

Let   Find and simplify

Accepted Answer

The answer of Let   Find and simplify ...

Quiz 10: Compositions, Inverses, and Combinations of Functions

Let Be a linear function with a negative slope and Be a different linear function with a positive slope. Describe the graph of .

Let and for positive constants a and b. Let . If and , what is ?

Is the quotient of two even functions odd, even, or neither?

For , does ?

The following table gives 3 functions, f, g, and h. Which of the following statements is true?

The following table gives 3 functions, f, g, and h. Given that f is linear, use the relationships between f, g, and h to find aformula for h:

The function Is shown in the first figure. Which transformation of is shown in the second figure?

The following table gives values for the functions f, g, and h, three functions defined only for the values x = 0, 1, . . . , 5. Based on the table, what is ?

Let and . What is ?

The functions and are defined by the graph below. The dashed graph is and the solid graph is . Evaluate .

Let And What is ?

Let And What is ?

Find if and .

Let and Find a simplified formula for .

Let and . Find a simplified formula for the function

Let be the number of men and be the number of women residing in a certain town in year t. Let be the average income, in dollars, of residents of that town in year t. If and , find a simplified formula for the total amount of money earned by all adult residents of the town in year t.

Let be the number of men and let be the number of women residing in a certain town in year t. Let be the average income, in dollars, of residents of that town in year t. If and , find a simplified formula for the total amount of money earned by all adult residents of the town in year 3.

Find a simplified formula for h given

Let Find and simplify