Question 1

Match the function with the graph.
-

Accepted Answer

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

Question 2

Evaluate.
-If f(x) =   find f(-9).

Accepted Answer

A)  -5 
B)  13 
C)  5 
D)  -13 
A)  -5 
B)  13 
C)  5 
D)  -13 A

Question 3

Solve the problem.
-If y varies directly as x and inversely as the square root of w, and y = 72 when x = 8 and w = 12, find y when x = 5 and w = 27.

Accepted Answer

A)  y = 30 
B)    
C)    
D)  y = 60 
A)  y = 30 
B)    
C)    
D)  y = 60 A

Question 4

For the pair of functions, perform the indicated operation.
-f(x) =   Find f · g.

Accepted Answer

A)    
B)  (4x + 3)(9x - 16) 
C)  (4x + 3)(3x - 4) 
D)    
A)    
B)  (4x + 3)(9x - 16) 
C)  (4x + 3)(3x - 4) 
D)

Question 5

Match the function with the graph.
-

Accepted Answer

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

Question 6

Write a formula to express the relationship. Use k as the constant of variation.
-The force of attraction between an object of fixed mass and a second object of mass m varies directly as m and inversely as the square of the distance d between the two objects.

Accepted Answer

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

Question 7

Solve the problem.
-If f varies jointly as   and h, and f = -96 when q = 4 and h = -3, find k.

Accepted Answer

A)  k = -3 
B)  k = 3 
C)  k = 4 
D)  k = 2 
A)  k = -3 
B)  k = 3 
C)  k = 4 
D)  k = 2

Question 8

Evaluate.
-Find (f/g)(-2) given f(x) = 4x - 6 and g(x) =   + 14x + 5.

Accepted Answer

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

Question 9

Find the requested function value.
-Find   (-8) when f(x) = 8x - 2 and g(x) =   + 2x - 7.

Accepted Answer

A)  -570 
B)  2886 
C)  25,997 
D)  -535 
A)  -570 
B)  2886 
C)  25,997 
D)  -535

Question 10

Use the minimum and maximum features of a graphing calculator to find approximately the intervals on which the
function is increasing or decreasing. Round your values to two decimal places, if necessary.
-y =   + 18

Accepted Answer

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

Question 11

Write the equation of the graph after the indicated transformation(s).
-The graph of   is vertically stretched by a factor of 5, and the resulting graph is reflected across the x-axis.

Accepted Answer

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

Question 12

Write a formula to express the relationship. Use k as the constant of variation.
-The height h of a cone with a fixed volume varies inversely as the square of its radius r.

Accepted Answer

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

Question 13

Solve the problem.
-A salesperson gets a commission of $1600 for the first $10,000 of sales, and then $800 for each additional $10,000 or partial of sales. Let S(x) represent the commission on x dollars of sales. Find the value of S(75,000).

Accepted Answer

A)  $7600 
B)  $6000 
C)  $7200 
D)  $6800 
A)  $7600 
B)  $6000 
C)  $7200 
D)  $6800

Question 14

Find the indicated composition of functions.
-Let f = (-7, -9), (-1, -7), (7, -2) and g = (-9, 1), (-2, 8), (9, 9) . Find

Accepted Answer

A)  (-7, 1), (-1, 8), (7, 9) 
B)  (63, -9), (2, -56), (63, -18) 
C)  (-7, 1), (7, 8) 
D)  (-7, 1), (-1, 9), (7, 8) 
A)  (-7, 1), (-1, 8), (7, 9) 
B)  (63, -9), (2, -56), (63, -18) 
C)  (-7, 1), (7, 8) 
D)  (-7, 1), (-1, 9), (7, 8)

Question 15

Translate the given formula to English.
-P = nb, where P is the perimeter of a regular polygon with n sides each of length b.

Accepted Answer

The perimeter of a r

Question 16

Find the inverse of the function.
-

Accepted Answer

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

Question 17

Provide an appropriate response.
-Explain in your own words why g(x + h) is not the same as g(x) + h.

Accepted Answer

In g(x) + h, h is added to the

Question 18

Graph the function.
-

Accepted Answer

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

Question 19

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 radius of any spherical bowling ball, and b is its volume.

Accepted Answer

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

Question 20

Solve the problem.
-At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by C(x) = 9x + 16 and the total profit function is given by P(x) =   + 35x - 16, where x represents the number
Of boxes of computer chips produced. The total revenue function, R(x), is such that R(x) = C(x) + P(x). Find R(x).

Accepted Answer

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

Match the function with the graph. -

Evaluate. -If f(x) = find f(-9).

Solve the problem. -If y varies directly as x and inversely as the square root of w, and y = 72 when x = 8 and w = 12, find y when x = 5 and w = 27.

For the pair of functions, perform the indicated operation. -f(x) = Find f · g.

Match the function with the graph. -

Write a formula to express the relationship. Use k as the constant of variation. -The force of attraction between an object of fixed mass and a second object of mass m varies directly as m and inversely as the square of the distance d between the two objects.

Solve the problem. -If f varies jointly as and h, and f = -96 when q = 4 and h = -3, find k.

Evaluate. -Find (f/g)(-2) given f(x) = 4x - 6 and g(x) = + 14x + 5.

Find the requested function value. -Find (-8) when f(x) = 8x - 2 and g(x) = + 2x - 7.

Use the minimum and maximum features of a graphing calculator to find approximately the intervals on which the function is increasing or decreasing. Round your values to two decimal places, if necessary. -y = + 18

Write the equation of the graph after the indicated transformation(s). -The graph of is vertically stretched by a factor of 5, and the resulting graph is reflected across the x-axis.

Write a formula to express the relationship. Use k as the constant of variation. -The height h of a cone with a fixed volume varies inversely as the square of its radius r.

Solve the problem. -A salesperson gets a commission of $1600 for the first $10,000 of sales, and then $800 for each additional $10,000 or partial of sales. Let S(x) represent the commission on x dollars of sales. Find the value of S(75,000).

Find the indicated composition of functions. -Let f = (-7, -9), (-1, -7), (7, -2) and g = (-9, 1), (-2, 8), (9, 9) . Find

Translate the given formula to English. -P = nb, where P is the perimeter of a regular polygon with n sides each of length b.

Find the inverse of the function. -

Provide an appropriate response. -Explain in your own words why g(x + h) is not the same as g(x) + h.

Graph the function. -

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 radius of any spherical bowling ball, and b is its volume.

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

Match the function with the graph. -

Evaluate. -If f(x) = find f(-9).

Solve the problem. -If y varies directly as x and inversely as the square root of w, and y = 72 when x = 8 and w = 12, find y when x = 5 and w = 27.

For the pair of functions, perform the indicated operation. -f(x) = Find f · g.

Match the function with the graph. -

Write a formula to express the relationship. Use k as the constant of variation. -The force of attraction between an object of fixed mass and a second object of mass m varies directly as m and inversely as the square of the distance d between the two objects.

Solve the problem. -If f varies jointly as and h, and f = -96 when q = 4 and h = -3, find k.

Evaluate. -Find (f/g)(-2) given f(x) = 4x - 6 and g(x) = + 14x + 5.

Find the requested function value. -Find (-8) when f(x) = 8x - 2 and g(x) = + 2x - 7.

Use the minimum and maximum features of a graphing calculator to find approximately the intervals on which the function is increasing or decreasing. Round your values to two decimal places, if necessary. -y = + 18

Write the equation of the graph after the indicated transformation(s). -The graph of is vertically stretched by a factor of 5, and the resulting graph is reflected across the x-axis.

Write a formula to express the relationship. Use k as the constant of variation. -The height h of a cone with a fixed volume varies inversely as the square of its radius r.

Solve the problem. -A salesperson gets a commission of $1600 for the first $10,000 of sales, and then $800 for each additional $10,000 or partial of sales. Let S(x) represent the commission on x dollars of sales. Find the value of S(75,000).

Find the indicated composition of functions. -Let f = (-7, -9), (-1, -7), (7, -2) and g = (-9, 1), (-2, 8), (9, 9) . Find

Translate the given formula to English. -P = nb, where P is the perimeter of a regular polygon with n sides each of length b.

Find the inverse of the function. -

Provide an appropriate response. -Explain in your own words why g(x + h) is not the same as g(x) + h.

Graph the function. -

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 radius of any spherical bowling ball, and b is its volume.

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