Question 1

Write a piecewise function for the given graph.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Find the specified domain.
-For f(x) =   - 49 and g(x) = 2x + 3, what is the domain of f/g?

Accepted Answer

A)    
B)  (-7, 7) 
C)    
D)    
A)    
B)  (-7, 7) 
C)    
D)

Question 3

Graph the function.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Solve the problem.
-At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by R(x) =   and the total profit function is given by P(x) =   - 12, where x represents the
Number of boxes of computer chips produced. The total cost function, C(x), is such that C(x) = R(x) - P(x). Find
C(x).

Accepted Answer

A)  C(x) = 11x + 8 
B)  C(x) = 9x + 12 
C)    + 18x + 12 
D)  C(x) = 10x + 17 
A)  C(x) = 11x + 8 
B)  C(x) = 9x + 12 
C)    + 18x + 12 
D)  C(x) = 10x + 17

Question 5

Solve the problem.
-The shadow cast by an object on a sunny day varies directly as the height of the object. If a person 58 inches tall casts a shadow 84 inches long, how tall is a tree which casts a shadow 44 feet in length? Round to the nearest
Hundredth when necessary.

Accepted Answer

A)  63.72 feet 
B)  110.73 feet 
C)  71 feet 
D)  30.38 feet 
A)  63.72 feet 
B)  110.73 feet 
C)  71 feet 
D)  30.38 feet

Question 6

Solve the problem.
-Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 60x + 3300, where S(x) represents the number of sales in year x, with x = 0 corresponding to 1982. In what year would the sales be
3720?

Accepted Answer

A)  1989 
B)  1986 
C)  1987 
D)  1988 
A)  1989 
B)  1986 
C)  1987 
D)  1988

Question 7

Evaluate.
-If f(x) =   - 4x - 2, find f(6).

Accepted Answer

A)  4 
B)  156 
C)  154 
D)  174 
A)  4 
B)  156 
C)  154 
D)  174

Question 8

Graph the equation by plotting ordered pairs of numbers.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Determine whether the function is invertible by inspecting its graph on a graphing calculator.
-f(x) =   + 0.48x - 3

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 10

Find the requested function value.
-  (x): f(x) =   + 3x + 8, g(x) = 3x - 4

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Decide whether or not the functions are inverses of each other.
-f(x) =   x, g(x) = - 5x

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 12

Graph the following function by transforming the given graph of y = f(x).
-Sketch the graph of y = f(x - 3).

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry".
-f(x) =   + 2

Accepted Answer

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

Question 14

Determine whether the function is even, odd, or neither.
-f(x) = (x + 9)(x + 9)

Accepted Answer

A)  Even 
B)  Odd 
C)  Neither 
A)  Even 
B)  Odd 
C)  Neither

Question 15

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

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 16

Determine whether the relation is a function.
-{(-8, 8), (-8, 9), (-1, 6), (6, -1), (8, -9)}

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 17

Solve the problem.
-The function   gives the height h, in feet, of a coin tossed upward from a balcony 200 ft high with an initial velocity of 48 ft/sec. During what interval of time will the coin be at a height of at least 40 ft?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Find the inverse of the function.
-f(x) = 8x - 5

Accepted Answer

A)    
B)    
C)    
D)  Not invertible 
A)    
B)    
C)    
D)  Not invertible

Question 19

Solve the problem.
-The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If   , what is the volume when T =

Accepted Answer

A)  133.3 in.3 
B)  163.3 in.3 
C)  143.3 in.3 
D)  153.3 in.3 
A)  133.3 in.3 
B)  163.3 in.3 
C)  143.3 in.3 
D)  153.3 in.3

Question 20

Determine the intervals on which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)    Decreasing on   
B)    ; Decreasing on   
C)    ; Decreasing on   
D)    Decreasing on   
A)    Decreasing on   
B)    ; Decreasing on   
C)    ; Decreasing on   
D)    Decreasing on

Write a piecewise function for the given graph. -

Find the specified domain. -For f(x) = - 49 and g(x) = 2x + 3, what is the domain of f/g?

Graph the function. -

Solve the problem. -The shadow cast by an object on a sunny day varies directly as the height of the object. If a person 58 inches tall casts a shadow 84 inches long, how tall is a tree which casts a shadow 44 feet in length? Round to the nearest Hundredth when necessary.

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 60x + 3300, where S(x) represents the number of sales in year x, with x = 0 corresponding to 1982. In what year would the sales be 3720?

Evaluate. -If f(x) = - 4x - 2, find f(6).

Graph the equation by plotting ordered pairs of numbers. -

Determine whether the function is invertible by inspecting its graph on a graphing calculator. -f(x) = + 0.48x - 3

Find the requested function value. - (x): f(x) = + 3x + 8, g(x) = 3x - 4

Decide whether or not the functions are inverses of each other. -f(x) = x, g(x) = - 5x

Graph the following function by transforming the given graph of y = f(x). -Sketch the graph of y = f(x - 3).

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = + 2

Determine whether the function is even, odd, or neither. -f(x) = (x + 9)(x + 9)

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

Determine whether the relation is a function. -{(-8, 8), (-8, 9), (-1, 6), (6, -1), (8, -9)}

Solve the problem. -The function gives the height h, in feet, of a coin tossed upward from a balcony 200 ft high with an initial velocity of 48 ft/sec. During what interval of time will the coin be at a height of at least 40 ft?

Find the inverse of the function. -f(x) = 8x - 5

Solve the problem. -The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If , what is the volume when T =

Determine the intervals on which the function is increasing, decreasing, and constant. -

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 2: Functions and Graphs

Write a piecewise function for the given graph. -

Find the specified domain. -For f(x) = - 49 and g(x) = 2x + 3, what is the domain of f/g?

Graph the function. -

Solve the problem. -The shadow cast by an object on a sunny day varies directly as the height of the object. If a person 58 inches tall casts a shadow 84 inches long, how tall is a tree which casts a shadow 44 feet in length? Round to the nearest Hundredth when necessary.

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 60x + 3300, where S(x) represents the number of sales in year x, with x = 0 corresponding to 1982. In what year would the sales be 3720?

Evaluate. -If f(x) = - 4x - 2, find f(6).

Graph the equation by plotting ordered pairs of numbers. -

Determine whether the function is invertible by inspecting its graph on a graphing calculator. -f(x) = + 0.48x - 3

Find the requested function value. - (x): f(x) = + 3x + 8, g(x) = 3x - 4

Decide whether or not the functions are inverses of each other. -f(x) = x, g(x) = - 5x

Graph the following function by transforming the given graph of y = f(x). -Sketch the graph of y = f(x - 3).

List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = + 2

Determine whether the function is even, odd, or neither. -f(x) = (x + 9)(x + 9)

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

Determine whether the relation is a function. -{(-8, 8), (-8, 9), (-1, 6), (6, -1), (8, -9)}

Solve the problem. -The function gives the height h, in feet, of a coin tossed upward from a balcony 200 ft high with an initial velocity of 48 ft/sec. During what interval of time will the coin be at a height of at least 40 ft?

Find the inverse of the function. -f(x) = 8x - 5

Solve the problem. -The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If , what is the volume when T =

Determine the intervals on which the function is increasing, decreasing, and constant. -

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters