Question 1

Graph the function as a solid curve and its inverse as a dashed curve.
-f(x) =   + 4

Accepted Answer

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

Question 2

For the pair of functions, perform the indicated operation.
-f(x) = 4x - 3, g(x) = 7x - 9 Find f - g.

Accepted Answer

A)  -3x + 6 
B)  11x - 12 
C)  -3x - 12 
D)  3x - 6 
A)  -3x + 6 
B)  11x - 12 
C)  -3x - 12 
D)  3x - 6

Question 3

Solve the inequality by reading the given graph. State the solution set using interval notation.
-  + 4x < 2x + 8 A related function is graphed below.   x-intercepts: (-4, 0), (2, 0)

Accepted Answer

A)  (2, 4) 
B)  [-4, 2] 
C)  (-4, 2) 
D)    
A)  (2, 4) 
B)  [-4, 2] 
C)  (-4, 2) 
D)

Question 4

Find the constant of variation and construct the function that is expressed in each statement.
-y varies directly as x: y = 1.4, when x = 0.5

Accepted Answer

A)  y = 1.4x 
B)  x = 2.8y 
C)  y = 2.8x 
D)  x = 1.4y 
A)  y = 1.4x 
B)  x = 2.8y 
C)  y = 2.8x 
D)  x = 1.4y

Question 5

Find the requested composition of functions.
-Given f(x) =   and g(x) = 7x + 5, find   x).

Accepted Answer

A)  x + 10 
B)    
C)  x 
D)  7x + 30 
A)  x + 10 
B)    
C)  x 
D)  7x + 30

Question 6

Solve the problem.
-A rectangular box with volume 188 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the
Base. Express the cost of the box as a function of x. Give the function and state its domain.

Accepted Answer

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

Question 7

Determine whether the first variable varies directly or inversely with the other variable.
-The time it takes an athlete to run 100 meters, her average speed

Accepted Answer

A)  Inversely 
B)  Directly 
A)  Inversely 
B)  Directly

Question 8

Use transformations to graph the function and state the domain and range.
-

Accepted Answer

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

Question 9

Use transformations to graph the function and state the domain and range.
-

Accepted Answer

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

Question 10

Sketch a graph to represent the situation described.
-Janice jogged twice around a circular race track, which took her 4 minutes, then jogged to the center of the track and rested for 4 minutes before walking home slowly at a constant rate, which took her 12 minutes. Sketch a
Graph of her distance from the center of the race track as a function of time. Assume that the route she takes
Home is a straight line from the center of the race track.

Accepted Answer

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

Question 11

Solve the problem.
-Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 5.2 feet per second. Find a function, d(t), which gives the distance Ken
Is from the streetlight in terms of time. Find a function, S(d), which gives the length of Ken's shadow in terms of
D. Then find   (t). What is the meaning of   (t)?

Accepted Answer

A)    (t) gives the distance Ken is from the streetlight in terms of time. 
B)    (t) gives the length of Ken's shadow in terms of time. 
C)    (t) gives the length of Ken's shadow in terms of his distance from the streetlight. 
D)    (t) gives the time in terms of Ken's distance from the streetlight. 
A)    (t) gives the distance Ken is from the streetlight in terms of time. 
B)    (t) gives the length of Ken's shadow in terms of time. 
C)    (t) gives the length of Ken's shadow in terms of his distance from the streetlight. 
D)    (t) gives the time in terms of Ken's distance from the streetlight.

Question 12

Determine whether or not the function is one-to-one.
-f(x) =

Accepted Answer

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

Question 13

Graph the equation by plotting ordered pairs of numbers.
--2x = y - 1

Accepted Answer

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

Question 14

Solve the problem.
-A rectangular enclosure must have an area of at least   If 260 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Evaluate.
-Given f(x) = 4x + 4 and g(x) =   + 6x - 7, find (f ·

Accepted Answer

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

Question 17

Find the domain and range.
-

Accepted Answer

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

Question 18

Find the domain and range.
-y =

Accepted Answer

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

Question 19

Evaluate.
-If f = (2, -6), (5, -3), (6, -1) and g(x) = 4x + 9, find f(5) + g(5).

Accepted Answer

A)  34 
B)  10 
C)  62 
D)  26 
A)  34 
B)  10 
C)  62 
D)  26

Question 20

Solve the problem.
-The profit made when t units are sold, t > 0, is given by   Determine the number of units to be sold for which P < 0 (a loss is taken).

Accepted Answer

A) t 12 B) t > 0 C) t = 11 or t = 12 D) 11 < t < 12 A) t 12 B) t > 0 C) t = 11 or t = 12 D) 11 < t < 12

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = + 4

For the pair of functions, perform the indicated operation. -f(x) = 4x - 3, g(x) = 7x - 9 Find f - g.

Solve the inequality by reading the given graph. State the solution set using interval notation. - + 4x < 2x + 8 A related function is graphed below. x-intercepts: (-4, 0), (2, 0)

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as x: y = 1.4, when x = 0.5

Find the requested composition of functions. -Given f(x) = and g(x) = 7x + 5, find x).

Determine whether the first variable varies directly or inversely with the other variable. -The time it takes an athlete to run 100 meters, her average speed

Use transformations to graph the function and state the domain and range. -

Use transformations to graph the function and state the domain and range. -

Determine whether or not the function is one-to-one. -f(x) =

Graph the equation by plotting ordered pairs of numbers. --2x = y - 1

Solve the problem. -A rectangular enclosure must have an area of at least If 260 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

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

Evaluate. -Given f(x) = 4x + 4 and g(x) = + 6x - 7, find (f ·

Find the domain and range. -

Find the domain and range. -y =

Evaluate. -If f = (2, -6), (5, -3), (6, -1) and g(x) = 4x + 9, find f(5) + g(5).

Solve the problem. -The profit made when t units are sold, t > 0, is given by Determine the number of units to be sold for which P < 0 (a loss is taken).

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

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = + 4

For the pair of functions, perform the indicated operation. -f(x) = 4x - 3, g(x) = 7x - 9 Find f - g.

Solve the inequality by reading the given graph. State the solution set using interval notation. - + 4x < 2x + 8 A related function is graphed below. x-intercepts: (-4, 0), (2, 0)

Find the constant of variation and construct the function that is expressed in each statement. -y varies directly as x: y = 1.4, when x = 0.5

Find the requested composition of functions. -Given f(x) = and g(x) = 7x + 5, find x).

Determine whether the first variable varies directly or inversely with the other variable. -The time it takes an athlete to run 100 meters, her average speed

Use transformations to graph the function and state the domain and range. -

Use transformations to graph the function and state the domain and range. -

Determine whether or not the function is one-to-one. -f(x) =

Graph the equation by plotting ordered pairs of numbers. --2x = y - 1

Solve the problem. -A rectangular enclosure must have an area of at least If 260 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

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

Evaluate. -Given f(x) = 4x + 4 and g(x) = + 6x - 7, find (f ·

Find the domain and range. -

Find the domain and range. -y =

Evaluate. -If f = (2, -6), (5, -3), (6, -1) and g(x) = 4x + 9, find f(5) + g(5).

Solve the problem. -The profit made when t units are sold, t > 0, is given by Determine the number of units to be sold for which P < 0 (a loss is taken).

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