Question 1

Find the domain and range.
-{(x, y)  y = 7}

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Evaluate.
-If f(x) =  , find f(3).

Accepted Answer

A)  100 
B)  -8 
C)  -16 
D)  16

Question 3

Solve the problem.
-The volume of water added to a circular drum of radius r is given by  is volume in cu ft and t is time in sec. Find the depth of water in a drum of radius 4 ft after adding water for 12 sec. (Round result to
One decimal place.)

Accepted Answer

A)  14.4 ft 
B)  2.7 ft 
C)  7.2 ft 
D)  22.6 ft

Question 4

Write the equation of the graph after the indicated transformation(s).
-The graph of y =  is shifted 1.2 units to the left. This graph is then vertically stretched by a factor of 7.6. Finally, the graph is reflected across the x-axis.

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Write a piecewise function for the given graph.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Determine whether the equation defines y as a function of x.
-y = 9x + 5

Accepted Answer

A)  Yes 
B)  No

Question 7

Decide whether or not the functions are inverses of each other.
-f(x) = 4x + 16, g(x) =  - 4

Accepted Answer

A)  Yes 
B)  No

Question 8

Find the constant of variation and construct the function that is expressed in each statement.
-y varies directly as x: y = 1, when x = 0.8

Accepted Answer

A)   
B)  y = 1.25x 
C)   
D)  y = 1x

Question 9

Find a formula for the inverse of the function described below.
-A size-46 dress in Country C is size 3 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) =  - 20

Accepted Answer

A)   
B)   
C)   
D)

Question 10

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

Accepted Answer

A)   + 2 
B)   , g(x) = 2 
C)   
D)   + 2

Question 11

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 12

Provide an appropriate response.
-The graph shown is a translation of the function y = x . The graph shown is of the form y = x - h + k. What are the values of h and k?

Accepted Answer

A)  h = -5, k = -4 
B)  h = 5 k = -4 
C)  h = -5, k = 4 
D)  h = 5, k = 4

Question 13

For the pair of functions, perform the indicated operation.
-f(x) = 5x + 8, g(x) = 4x - 9 Find f · g.

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Determine whether the equation defines y as a function of x.
- = (x - 3)(x + 9)

Accepted Answer

A)  Yes 
B)  No

Question 15

Determine whether the function is invertible. If it is, find the inverse.
-{(-16, -11), (5, -11), (14, -14)}

Accepted Answer

A)  {(-16, 12), (-16, 5), (-14, 14)} 
B)  {(-11, -16), (14, 5), (-14, 12)} 
C)  {(-11, -16), (12, 5), (-14, 14)} 
D)  Not invertible

Question 16

Find the requested function value.
-Find  (21) when  and g(x) = 9x + 8.

Accepted Answer

A)  94 
B)  62 
C)  102 
D)  1182

Question 17

Solve the problem.
-A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of 400 feet. After 50 minutes the bell is at a depth of 1600 feet. What is the average rate of lowering per minute?

Accepted Answer

A)  31.6 ft per minute 
B)  24.0 ft per minute 
C)  32.0 ft per minute 
D)  0.03 ft per minute

Question 18

Solve the problem.
-If f varies jointly as  and h, and f = 96 when q = 4 and h = 2, find f when q = 2 and h = 6.

Accepted Answer

A)  f = 36 
B)  f = 18 
C)  f = 12 
D)  f = 72

Question 19

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

Accepted Answer

A)  Yes 
B)  No

Question 20

Solve the problem.
-A balloon (in the shape of a sphere) is being inflated. The radius is increasing at a rate of 4 cm per second. Find a function, r(t), for the radius in terms of t. Find a function, V(r), for the volume of the balloon in terms of r. Find  (t).

Accepted Answer

A)   
B)   
C)   
D)

Exam 2: Functions and Graphs

Find the domain and range. -{(x, y) y = 7}

Evaluate. -If f(x) = , find f(3) .

Solve the problem. -The volume of water added to a circular drum of radius r is given by is volume in cu ft and t is time in sec. Find the depth of water in a drum of radius 4 ft after adding water for 12 sec. (Round result to One decimal place.)

Write the equation of the graph after the indicated transformation(s) . -The graph of y = is shifted 1.2 units to the left. This graph is then vertically stretched by a factor of 7.6. Finally, the graph is reflected across the x-axis.

Write a piecewise function for the given graph. -

Determine whether the equation defines y as a function of x. -y = 9x + 5

Decide whether or not the functions are inverses of each other. -f(x) = 4x + 16, g(x) = - 4

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as x: y = 1, when x = 0.8

Find a formula for the inverse of the function described below. -A size-46 dress in Country C is size 3 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = - 20

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

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.

Provide an appropriate response. -The graph shown is a translation of the function y = x . The graph shown is of the form y = x - h + k. What are the values of h and k?

For the pair of functions, perform the indicated operation. -f(x) = 5x + 8, g(x) = 4x - 9 Find f · g.

Determine whether the equation defines y as a function of x. - = (x - 3) (x + 9)

Determine whether the function is invertible. If it is, find the inverse. -{(-16, -11) , (5, -11) , (14, -14) }

Find the requested function value. -Find (21) when and g(x) = 9x + 8.

Solve the problem. -A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of 400 feet. After 50 minutes the bell is at a depth of 1600 feet. What is the average rate of lowering per minute?

Solve the problem. -If f varies jointly as and h, and f = 96 when q = 4 and h = 2, find f when q = 2 and h = 6.

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

Solve the problem. -A balloon (in the shape of a sphere) is being inflated. The radius is increasing at a rate of 4 cm per second. Find a function, r(t) , for the radius in terms of t. Find a function, V(r) , for the volume of the balloon in terms of r. Find (t) .