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

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 3

Graph the quadratic function. f (x) = - x2 - 3x + 2

Accepted Answer

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

Question 4

Do the operation and express the answer in a + bi form.

Accepted Answer

A)  11 - 7 i 
B)  - 11 - 7 i 
C)  - 11 + 14 i 
D)  - 11 + 7 i 
E)  11 + 7 i 
A)  11 - 7 i 
B)  - 11 - 7 i 
C)  - 11 + 14 i 
D)  - 11 + 7 i 
E)  11 + 7 i

Question 5

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of   .

Accepted Answer

A)  3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
B)  3 positive reals or 1 positive real; no negative reals 
C)  no positive reals; no negative reals 
D)  3 positive reals or 1 positive real; 1 negative real 
E)  1 positive real; 3 negative reals or 1 negative real 
A)  3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
B)  3 positive reals or 1 positive real; no negative reals 
C)  no positive reals; no negative reals 
D)  3 positive reals or 1 positive real; 1 negative real 
E)  1 positive real; 3 negative reals or 1 negative real

Question 6

Simplify the expression. i -6

Accepted Answer

A)  - 1 
B)  - i 
C)  - 3i 
D)  1 
E)  i 
A)  - 1 
B)  - i 
C)  - 3i 
D)  1 
E)  i

Question 7

Graph the given function.

Accepted Answer

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

Question 8

Do the operation and express the answer in a + bi form. (9 - 10 i) + (2 + 3 i)

Accepted Answer

A)  11 - 7 i 
B)  11 + 7 i 
C)  - 11 + 7 i 
D)  7 - 11 i 
E)  - 11 - 7 i 
A)  11 - 7 i 
B)  11 + 7 i 
C)  - 11 + 7 i 
D)  7 - 11 i 
E)  - 11 - 7 i

Question 9

Tell whether the function   is even or odd. If it is neither, so indicate.

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 10

Do the operation and express the answer in a + bi form.

Accepted Answer

A)  - 8 i 
B)  - 40 i 
C)  - 8 
D)  8 i 
E)  8 
A)  - 8 i 
B)  - 40 i 
C)  - 8 
D)  8 i 
E)  8

Question 11

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of   .

Accepted Answer

A)  3 positive reals or 1 positive real; no negative reals 
B)  1 positive real; 3 negative reals or 1 negative real 
C)  3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
D)  no positive reals; no negative reals 
E)  0 positive real; 3 negative reals or 1 negative real 
A)  3 positive reals or 1 positive real; no negative reals 
B)  1 positive real; 3 negative reals or 1 negative real 
C)  3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
D)  no positive reals; no negative reals 
E)  0 positive real; 3 negative reals or 1 negative real

Question 12

Do the operation and express the answer in a + bi form.

Accepted Answer

A)  19 i 
B)  - 19 i 
C)  - 190 i 
D)  - 19 
E)  19 
A)  19 i 
B)  - 19 i 
C)  - 190 i 
D)  - 19 
E)  19

Question 13

Graph the quadratic function. f (x) = - 4x2 + 2

Accepted Answer

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

Question 14

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 1) 3.

Accepted Answer

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

Question 15

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of   .

Accepted Answer

A)  3 positive reals or 1 positive real; 1 negative real 
B)  3 positive reals or 1 positive real; no negative reals 
C)  no positive reals; no negative reals 
D)  1 positive real; 3 negative reals or 1 negative real 
E)  3 positive reals or 1 positive real; 3 negative reals or 1 negative real 
A)  3 positive reals or 1 positive real; 1 negative real 
B)  3 positive reals or 1 positive real; no negative reals 
C)  no positive reals; no negative reals 
D)  1 positive real; 3 negative reals or 1 negative real 
E)  3 positive reals or 1 positive real; 3 negative reals or 1 negative real

Question 16

Using a graphing utility, graph   and approximate the zeros and their multiplicity.

Accepted Answer

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

Question 17

Do the operation and express the answer in a + bi form.

Accepted Answer

A)  - 9 i 
B)  - 9 
C)  9 i 
D)  - 45 i 
E)  9 
A)  - 9 i 
B)  - 9 
C)  9 i 
D)  - 45 i 
E)  9

Question 18

Determine the vertex of the graph of the quadratic function   .

Accepted Answer

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

Question 19

Write   as a product of linear factors.

Accepted Answer

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

Question 20

Use synthetic division to express   in the form   for the divisor   .

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Determine the vertex of the graph of the quadratic function .

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

Graph the quadratic function. f (x) = - x² - 3x + 2

Do the operation and express the answer in a + bi form.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Simplify the expression. i^-6

Graph the given function.

Do the operation and express the answer in a + bi form. (9 - 10 i) + (2 + 3 i)

Tell whether the function is even or odd. If it is neither, so indicate.

Do the operation and express the answer in a + bi form.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Do the operation and express the answer in a + bi form.

Graph the quadratic function. f (x) = - 4x² + 2

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1)³.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Using a graphing utility, graph and approximate the zeros and their multiplicity.

Do the operation and express the answer in a + bi form.

Determine the vertex of the graph of the quadratic function .

Write as a product of linear factors.

Use synthetic division to express in the form for the divisor .

Functions and Their Graphs

Solving Equations and Inequalities

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters

Exam 3: Polynomial and Rational Functions

Determine the vertex of the graph of the quadratic function .

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

Graph the quadratic function. f (x) = - x2 - 3x + 2

Do the operation and express the answer in a + bi form.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Simplify the expression. i -6

Graph the given function.

Do the operation and express the answer in a + bi form. (9 - 10 i) + (2 + 3 i)

Tell whether the function is even or odd. If it is neither, so indicate.

Do the operation and express the answer in a + bi form.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Do the operation and express the answer in a + bi form.

Graph the quadratic function. f (x) = - 4x2 + 2

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 1) 3.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .

Using a graphing utility, graph and approximate the zeros and their multiplicity.

Do the operation and express the answer in a + bi form.

Determine the vertex of the graph of the quadratic function .

Write as a product of linear factors.

Use synthetic division to express in the form for the divisor .

Functions and Their Graphs

Solving Equations and Inequalities

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters

Graph the quadratic function. f (x) = - x² - 3x + 2

Simplify the expression. i^-6

Graph the quadratic function. f (x) = - 4x² + 2

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 1)³.