Question 1

Find all the rational zeros of the function

Accepted Answer

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Question 2

Graph the given function.

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Question 3

Find all real solutions of the polynomial equation

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Question 4

The sum of the length l and the width w of a rectangular region is 180 meters.Write the area A as a function of l.

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Question 5

The cost, in dollars, of producing x golf balls is given by   The average cost per golf ball is given by   Find the average cost of producing 1000 golf balls.

Accepted Answer

A)  $86.08 
B)  $85.93 
C)  $86.38 
D)  $86.78 
E)  $85.98 
A)  $86.08 
B)  $85.93 
C)  $86.38 
D)  $86.78 
E)  $85.98

Question 6

Determine the vertical and slant asymptotes of the rational function below.

Accepted Answer

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Question 7

Use synthetic division to divide   by

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Question 8

Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function

Accepted Answer

A)  down to the far left, up to the far right 
B)  down to the far left, down to the far right 
C)  up to the far left, up to the far right 
D)  up to the far left, down to the far right 
E)  cannot be determined 
A)  down to the far left, up to the far right 
B)  down to the far left, down to the far right 
C)  up to the far left, up to the far right 
D)  up to the far left, down to the far right 
E)  cannot be determined

Question 9

Describe the right-hand and the left-hand behavior of the graph of

Accepted Answer

A)  Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. 
B)  Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right. 
C)  Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. 
D)  Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right. 
E)  Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right. 
A)  Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. 
B)  Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right. 
C)  Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. 
D)  Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right. 
E)  Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.

Question 10

Use the Rational Zero Test to list all possible rational zeros of the polynomial function

Accepted Answer

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E)

Question 11

Given the graph of   below, determine which of the following graphs represents

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Question 12

A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.

Accepted Answer

A)  5 feet × 18 feet 
B)  30 feet × 45 feet 
C)  30 feet × 32 feet 
D)  30 feet × 43 feet 
E)  30 feet × 40 feet 
A)  5 feet × 18 feet 
B)  30 feet × 45 feet 
C)  30 feet × 32 feet 
D)  30 feet × 43 feet 
E)  30 feet × 40 feet

Question 13

The demand and cost equations for a stethoscope are given by   and   where   is the unit price (in dollars),   is the total cost (in dollars), and   is the number of units.The total profit   (in dollars) obtained by producing and selling   units is given by   Determine a price   that would yield a profit of $4 million.

Accepted Answer

A)  $22.21 
B)  $44.43 
C)  $88.85 
D)  $99.96 
E)  $66.64 
A)  $22.21 
B)  $44.43 
C)  $88.85 
D)  $99.96 
E)  $66.64

Question 14

Determine the vertex of the graph of the quadratic function

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Question 15

Write   as a product of linear factors.

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Question 16

Match the equation with its graph.

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Question 17

Sketch the graph of the polynomial function below.

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Question 18

Simplify the rational expression,   , by using long division or synthetic division.

Accepted Answer

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Question 19

The fuel efficiency, in miles per gallon, for a certain midsize car at various speeds, in miles per hour, is given in the table below.   Find a quadratic model for these data and use it to predict the fuel efficiency of this car when it is traveling at a speed of 40 mph.Do not round any values in your calculations but round the final answer to the nearest tenth.

Accepted Answer

A)  33.9 mpg 
B)  33.7 mpg 
C)  35.7 mpg 
D)  32.7 mpg 
E)  33.9 mpg. 
A)  33.9 mpg 
B)  33.7 mpg 
C)  35.7 mpg 
D)  32.7 mpg 
E)  33.9 mpg.

Question 20

Find all the zeros of the polynomial function   and write the polynomial as a product of its linear factors.

Accepted Answer

A)    ,   ,   ;   
B)    ,   ,   ;   
C)    ,   ,   ;   
D)    ,   ,   ;   
E)    ,   ,   ;   
A)    ,   ,   ;   
B)    ,   ,   ;   
C)    ,   ,   ;   
D)    ,   ,   ;   
E)    ,   ,   ;

Find all the rational zeros of the function

Graph the given function.

Find all real solutions of the polynomial equation

The sum of the length l and the width w of a rectangular region is 180 meters.Write the area A as a function of l.

The cost, in dollars, of producing x golf balls is given by The average cost per golf ball is given by Find the average cost of producing 1000 golf balls.

Determine the vertical and slant asymptotes of the rational function below.

Use synthetic division to divide by

Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function

Describe the right-hand and the left-hand behavior of the graph of

Use the Rational Zero Test to list all possible rational zeros of the polynomial function

Given the graph of below, determine which of the following graphs represents

A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.

Determine the vertex of the graph of the quadratic function

Write as a product of linear factors.

Match the equation with its graph.

Sketch the graph of the polynomial function below.

Simplify the rational expression, , by using long division or synthetic division.

Find all the zeros of the polynomial function and write the polynomial as a product of its linear factors.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

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Exam 3: Polynomial and Rational Functions

Find all the rational zeros of the function

Graph the given function.

Find all real solutions of the polynomial equation

The sum of the length l and the width w of a rectangular region is 180 meters.Write the area A as a function of l.

The cost, in dollars, of producing x golf balls is given by The average cost per golf ball is given by Find the average cost of producing 1000 golf balls.

Determine the vertical and slant asymptotes of the rational function below.

Use synthetic division to divide by

Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function

Describe the right-hand and the left-hand behavior of the graph of

Use the Rational Zero Test to list all possible rational zeros of the polynomial function

Given the graph of below, determine which of the following graphs represents

A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.

Determine the vertex of the graph of the quadratic function

Write as a product of linear factors.

Match the equation with its graph.

Sketch the graph of the polynomial function below.

Simplify the rational expression, , by using long division or synthetic division.

Find all the zeros of the polynomial function and write the polynomial as a product of its linear factors.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters