Question 1

Determine the vertex of the graph of the quadratic function

Accepted Answer

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

Question 2

Determine the number of zeros of the polynomial function below.

Accepted Answer

A)  1 
B)  3 
C)  4 
D)  5 
E)  6 
A)  1 
B)  3 
C)  4 
D)  5 
E)  6

Question 3

Find the domain of

Accepted Answer

A)  all real numbers except   
B)  all real numbers except   
C)  all real numbers except   
D)  all real numbers except   
E)  all real numbers 
A)  all real numbers except   
B)  all real numbers except   
C)  all real numbers except   
D)  all real numbers except   
E)  all real numbers

Question 4

Find real numbers a and b such that the equation   is true.

Accepted Answer

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

Question 5

Simplify and write the following complex number in standard form.

Accepted Answer

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

Question 6

Determine the equations of any horizontal and vertical asymptotes of

Accepted Answer

A)  horizontal:   ; vertical:   
B)  horizontal:   ; vertical: none 
C)  horizontal:   ; vertical:   
D)  horizontal:   ; vertical: none 
E)  horizontal: none; vertical: none 
A)  horizontal:   ; vertical:   
B)  horizontal:   ; vertical: none 
C)  horizontal:   ; vertical:   
D)  horizontal:   ; vertical: none 
E)  horizontal: none; vertical: none

Question 7

Write the following expression as a complex number in standard form.

Accepted Answer

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

Question 8

Simplify and write the following complex number in standard form.

Accepted Answer

A)    
B)    
C)    
D)    
E)  0 
A)    
B)    
C)    
D)    
E)  0

Question 9

Determine the equations of any horizontal and vertical asymptotes of

Accepted Answer

A)  horizontal:   ; vertical: none 
B)  horizontal:   ; vertical:   
C)  horizontal:   ; vertical:   
D)  horizontal:   ; vertical:   
E)  horizontal:   ; vertical:   
A)  horizontal:   ; vertical: none 
B)  horizontal:   ; vertical:   
C)  horizontal:   ; vertical:   
D)  horizontal:   ; vertical:   
E)  horizontal:   ; vertical:

Question 10

Simplify   and write the answer in standard form.

Accepted Answer

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

Question 11

Using the factors   and   , find the remaining factor(s) of   and write the polynomial in fully factored form.

Accepted Answer

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

Question 12

An open box is to be made from a square piece of cardboard, 72 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below).After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.

Accepted Answer

A)    ×   ×   
B)    ×   ×   
C)    ×   ×   
D)    ×   ×   
E)    ×   ×   
A)    ×   ×   
B)    ×   ×   
C)    ×   ×   
D)    ×   ×   
E)    ×   ×

Question 13

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

Accepted Answer

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

Question 14

Find all the real zeros of

Accepted Answer

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

Question 15

Evaluate the power of i.

Accepted Answer

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

Question 16

Simplify and write the following complex number in standard form.

Accepted Answer

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

Question 17

The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 440 cubic inches, find the dimensions of the box.

Accepted Answer

A)  5 in. by 11 in. by 8 in. 
B)  4 in. by 9 in. by 7 in. 
C)  109 in. by 219 in. by 112 in. 
D)  5.5 in. by 12 in. by 8.5 in. 
E)  106 in. by 213 in. by 109 in. 
A)  5 in. by 11 in. by 8 in. 
B)  4 in. by 9 in. by 7 in. 
C)  109 in. by 219 in. by 112 in. 
D)  5.5 in. by 12 in. by 8.5 in. 
E)  106 in. by 213 in. by 109 in.

Question 18

Match the graph with one of the following functions below.   Function I :   Function II :   Function III :   Function IV :   Function V :

Accepted Answer

A)  Function I 
B)  Function IV 
C)  Function V 
D)  Function II 
E)  Function III 
A)  Function I 
B)  Function IV 
C)  Function V 
D)  Function II 
E)  Function III

Question 19

A music company expects that the monthly sales S, in thousands, of a new music CD it has produced will be closely approximated by   where t is the number of months after the CD is released.Find the monthly sales the company expects 7 months after the CD is released.Round to the nearest 100 CDs.

Accepted Answer

A)  4400 CDs 
B)  5000 CDs 
C)  4600 CDs 
D)  5200 CDs 
E)  5500 CDs 
A)  4400 CDs 
B)  5000 CDs 
C)  4600 CDs 
D)  5200 CDs 
E)  5500 CDs

Question 20

Classify whether the following numbers are in the Mandelbrot Set. I :   II :   III :

Accepted Answer

A)  Only numbers I and III are in the Mandelbrot Set. 
B)  Only number II is in the Mandelbrot Set. 
C)  Only number I is in the Mandelbrot Set. 
D)  None are in the Mandelbrot Set. 
E)  Only numbers II and III are in the Mandelbrot Set. 
A)  Only numbers I and III are in the Mandelbrot Set. 
B)  Only number II is in the Mandelbrot Set. 
C)  Only number I is in the Mandelbrot Set. 
D)  None are in the Mandelbrot Set. 
E)  Only numbers II and III are in the Mandelbrot Set.

Determine the vertex of the graph of the quadratic function

Determine the number of zeros of the polynomial function below.

Find the domain of

Find real numbers a and b such that the equation is true.

Simplify and write the following complex number in standard form.

Determine the equations of any horizontal and vertical asymptotes of

Write the following expression as a complex number in standard form.

Simplify and write the following complex number in standard form.

Determine the equations of any horizontal and vertical asymptotes of

Simplify and write the answer in standard form.

Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.

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

Find all the real zeros of

Evaluate the power of i.

Simplify and write the following complex number in standard form.

The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 440 cubic inches, find the dimensions of the box.

Match the graph with one of the following functions below. Function I : Function II : Function III : Function IV : Function V :

A music company expects that the monthly sales S, in thousands, of a new music CD it has produced will be closely approximated by where t is the number of months after the CD is released.Find the monthly sales the company expects 7 months after the CD is released.Round to the nearest 100 CDs.

Classify whether the following numbers are in the Mandelbrot Set. I : II : III :

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

Exam 3: Polynomial and Rational Functions

Determine the vertex of the graph of the quadratic function

Determine the number of zeros of the polynomial function below.

Find the domain of

Find real numbers a and b such that the equation is true.

Simplify and write the following complex number in standard form.

Determine the equations of any horizontal and vertical asymptotes of

Write the following expression as a complex number in standard form.

Simplify and write the following complex number in standard form.

Determine the equations of any horizontal and vertical asymptotes of

Simplify and write the answer in standard form.

Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.

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

Find all the real zeros of

Evaluate the power of i.

Simplify and write the following complex number in standard form.

The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 440 cubic inches, find the dimensions of the box.

Match the graph with one of the following functions below. Function I : Function II : Function III : Function IV : Function V :

A music company expects that the monthly sales S, in thousands, of a new music CD it has produced will be closely approximated by where t is the number of months after the CD is released.Find the monthly sales the company expects 7 months after the CD is released.Round to the nearest 100 CDs.

Classify whether the following numbers are in the Mandelbrot Set. I : II : III :

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