Question 1

Find the vertex of the parabola. y = x2 - 18x + 81

Accepted Answer

A) (0, 9) 
B) (81, 0) 
C) (9, 0) 
D) (9, -63) 
E) (-63, 0) 
A) (0, 9) 
B) (81, 0) 
C) (9, 0) 
D) (9, -63) 
E) (-63, 0)

Question 2

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

Accepted Answer

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

Question 3

Find all the rational zeros of the function   .

Accepted Answer

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

Question 4

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

Accepted Answer

A) (8, 0) 
B) (64, 4) 
C) (8, 5) 
D) (4, 8) 
E) (8, 4) 
A) (8, 0) 
B) (64, 4) 
C) (8, 5) 
D) (4, 8) 
E) (8, 4)

Question 5

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

Accepted Answer

A) 16 + 11 i 
B) - 2 + 11 i 
C) 16 - 2 i 
D) 2 - 11 i 
E) - 16 + 11 i 
A) 16 + 11 i 
B) - 2 + 11 i 
C) 16 - 2 i 
D) 2 - 11 i 
E) - 16 + 11 i

Question 6

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 2) 3.

Accepted Answer

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

Question 7

Find all zeros of the function   .

Accepted Answer

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

Question 8

Use long division to divide.

Accepted Answer

A)    
B)    
C)    
D)    
E) -x + 2 
A)    
B)    
C)    
D)    
E) -x + 2

Question 9

Find all the real zeros of   .

Accepted Answer

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

Question 10

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 11

Graph the function

Accepted Answer

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

Question 12

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 13

Find all the rational zeros of the function   .

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

Find the vertex of the parabola. y = 9x2 - 10

Accepted Answer

A) (0, -10) 
B) (0, 9) 
C) (9, -10) 
D) (-10, 0) 
E) (-10, 9) 
A) (0, -10) 
B) (0, 9) 
C) (9, -10) 
D) (-10, 0) 
E) (-10, 9)

Question 16

Find a polynomial with the given zeros.

Accepted Answer

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

Question 17

Write the standard form of the equation of the parabola that has a vertex at   and passes through the point   .

Accepted Answer

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

Question 18

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 19

Graph the polynomial function.

Accepted Answer

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

Question 20

Find a polynomial with the given zeros.

Accepted Answer

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

Find the vertex of the parabola. y = x² - 18x + 81

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

Find all the rational zeros of the function .

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4

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

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 2)³.

Find all zeros of the function .

Use long division to divide.

Find all the real zeros of .

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

Graph the function

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

Find all the rational zeros of the function .

Find all the real zeros of .

Find the vertex of the parabola. y = 9x² - 10

Find a polynomial with the given zeros.

Write the standard form of the equation of the parabola that has a vertex at and passes through the point .

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

Graph the polynomial function.

Find a polynomial with the given zeros.

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

Algebraic Expressions and Equations

Filters

Exam 3: Polynomial and Rational Functions

Find the vertex of the parabola. y = x2 - 18x + 81

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

Find all the rational zeros of the function .

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) 2 + 4

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

The graph of the function g(x) is a translation of the graph of f (x) = x 3. Graph the function g(x) = (x - 2) 3.

Find all zeros of the function .

Use long division to divide.

Find all the real zeros of .

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

Graph the function

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

Find all the rational zeros of the function .

Find all the real zeros of .

Find the vertex of the parabola. y = 9x2 - 10

Find a polynomial with the given zeros.

Write the standard form of the equation of the parabola that has a vertex at and passes through the point .

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

Graph the polynomial function.

Find a polynomial with the given zeros.

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

Algebraic Expressions and Equations

Filters

Find the vertex of the parabola. y = x² - 18x + 81

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

Find the vertex of the parabolic graph of the equation. y = 5(x - 8)² + 4

The graph of the function g(x) is a translation of the graph of f (x) = x³. Graph the function g(x) = (x - 2)³.

Find the vertex of the parabola. y = 9x² - 10