Question 1

Find the indicated function.
-Let f = (-6, 3), (5, -2), (9, 3) and g = (-6, -1), (6, 6), (9, -7) . Find f · g.

Accepted Answer

A)  (36, -3), (30, -12), (81, -21) 
B)  (-6, -3), (9, -21) 
C)  (36, -3), (81, -21) 
D)  (-6, -3), (5, -12), (9, -21)

Question 2

Graph the pair of functions on the same plane. Use a dashed line for g(x).
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Solve the problem.
-A video rental company charges $3 for the first day, and $2 for each additional day, for renting video tape. Use the greatest integer function and write an expression for renting a video tape for x days.

Accepted Answer

A)   
B)   
C)  y = 2x + 3 
D)

Question 4

Translate the given formula to English.
-I = PRT, where I is the simple interest on a principal of P dollars at a rate of interest R per year

Accepted Answer

The answer of Translate the given formula to English.
-I =...

Question 5

Find the inverse of the function.
-f(x) =

Accepted Answer

A)   
B)   
C)   
D)

Question 6

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry".
-f(x) =

Accepted Answer

A)  x = -8, origin 
B)  y-axis 
C)  x = 8 
D)  x = -8

Question 7

Solve the problem.
-If y varies inversely as x, and y =  when x =  , find y when x =  .

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Sketch a graph to represent the situation described.
-Subscriptions to a magazine fell rapidly during the first three months of the year 2000. During the next three months, subscriptions continued to fall but more and more slowly. After that, subscriptions were constant for
Two months, and then for the next two months subscriptions rose again, very slowly at first and then more
Quickly.

Accepted Answer

A)   
B)   
C)   
D)

Question 9

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry".
-f(x) = -  + 4

Accepted Answer

A)  x-axis 
B)  y-axis 
C)  Origin 
D)  No symmetry

Question 10

For the given pair of variables determine whether a is a function of b, b is a function of a, both, or neither.
-a is the savings account number of a customer at a bank, and b is the number of years the account has been active.

Accepted Answer

A)  a is a function of b 
B)  Neither 
C)  Both 
D)  b is a function of a

Question 11

Solve the problem.
-The revenue in dollars from the sale of concert tickets at x dollars each is given by the function R(x) = 19,000x - 500x2. Find the difference quotient when x = 20 and h = 0.1. Interpret the result.

Accepted Answer

A)  At 20 per ticket, revenue is increasing at $1050 per dollar change in ticket price. 
B)  At 20 per ticket, revenue is increasing at $105 per dollar change in ticket price. 
C)  At 20 per ticket, revenue is decreasing at $105 per dollar change in ticket price. 
D)  At 20 per ticket, revenue is decreasing at $1050 per dollar change in ticket price.

Question 12

Find the difference quotient,  , for the function and simplify it.
-a(x) =

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Find the requested function value.
-Find  (29) when f(x) =  , g(x) =  and h(x) = x - 7 .

Accepted Answer

A)  4 
B)  -4 
C)  -18 
D)  18

Question 14

Use the vertical line test to determine whether y is a function of x.
-

Accepted Answer

A)  Yes 
B)  No

Question 15

Identify the intervals on which the given function is increasing, decreasing, or constant.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Determine whether the first variable varies directly or inversely with the other variable.
-The number of hot dogs that you can buy for $75, the price per hot dog

Accepted Answer

A)  Directly 
B)  Inversely

Question 17

Solve the problem.
-Suppose that a circular coin has a circumference of C, a radius of r, and a diameter of d. Write C as a function of d.

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Find a formula for the inverse of the function described below.
-A size-12 dress in Country C is size 64 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 20).

Accepted Answer

A)   
B)   
C)   
D)

Question 19

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry".
-f(x) =

Accepted Answer

A)  x-axis 
B)  Origin 
C)  y-axis 
D)  No symmetry

Question 20

Evaluate.
-Find (f · G)(-4) given f(x) = x + 3 and g(x) =  + 12x + 6.

Accepted Answer

A)  -154 
B)  -22 
C)  -490 
D)  26

Exam 2: Functions and Graphs

Find the indicated function. -Let f = (-6, 3) , (5, -2) , (9, 3) and g = (-6, -1) , (6, 6) , (9, -7) . Find f · g.

Graph the pair of functions on the same plane. Use a dashed line for g(x) . -

Solve the problem. -A video rental company charges $3 for the first day, and $2 for each additional day, for renting video tape. Use the greatest integer function and write an expression for renting a video tape for x days.

Translate the given formula to English. -I = PRT, where I is the simple interest on a principal of P dollars at a rate of interest R per year

Find the inverse of the function. -f(x) =

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) =

Solve the problem. -If y varies inversely as x, and y = when x = , find y when x = .

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = - + 4

For the given pair of variables determine whether a is a function of b, b is a function of a, both, or neither. -a is the savings account number of a customer at a bank, and b is the number of years the account has been active.

Solve the problem. -The revenue in dollars from the sale of concert tickets at x dollars each is given by the function R(x) = 19,000x - 500x2. Find the difference quotient when x = 20 and h = 0.1. Interpret the result.

Find the difference quotient, , for the function and simplify it. -a(x) =

Find the requested function value. -Find (29) when f(x) = , g(x) = and h(x) = x - 7 .

Use the vertical line test to determine whether y is a function of x. -

Identify the intervals on which the given function is increasing, decreasing, or constant. -

Determine whether the first variable varies directly or inversely with the other variable. -The number of hot dogs that you can buy for $75, the price per hot dog

Solve the problem. -Suppose that a circular coin has a circumference of C, a radius of r, and a diameter of d. Write C as a function of d.

Find a formula for the inverse of the function described below. -A size-12 dress in Country C is size 64 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 20) .

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) =

Evaluate. -Find (f · G) (-4) given f(x) = x + 3 and g(x) = + 12x + 6.