Question 1

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    Chapter 3 
A)    
B)    
C)    
D)    Chapter 3

Question 2

An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

Accepted Answer

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

Question 3

Use synthetic division to perform the division.

Accepted Answer

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

Question 4

Write   in the form   when   .

Accepted Answer

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

Question 5

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 6

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

Question 7

Graph the given function.

Accepted Answer

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

Question 8

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 9

Write   as a product of linear factors.

Accepted Answer

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

Question 10

Let   . Use synthetic division to find the value   .

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Graph the given function.

Accepted Answer

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

Question 13

Find all real zeros of the polynomial   and determine the multiplicity of each.

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

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

Accepted Answer

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

Question 16

Find all the real zeros of   .

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. (8 - 10 i) + (5 + 7 i)

Accepted Answer

A) 3 - 13 i 
B) - 13 + 3 i 
C) 13 + 3 i 
D) - 13 - 3 i 
E) 13 - 3 i 
A) 3 - 13 i 
B) - 13 + 3 i 
C) 13 + 3 i 
D) - 13 - 3 i 
E) 13 - 3 i

Question 18

Write   as a product of linear factors.

Accepted Answer

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

Question 19

Graph the function

Accepted Answer

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

Question 20

Find the vertex of the parabola. y = 6x2 - 4

Accepted Answer

A) (0, -4) 
B) (-4, 0) 
C) (0, 6) 
D) (6, -4) 
E) (-4, 6) 
A) (0, -4) 
B) (-4, 0) 
C) (0, 6) 
D) (6, -4) 
E) (-4, 6)

Graph the function.

An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

Use synthetic division to perform the division.

Write in the form when .

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

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

Graph the given function.

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

Write as a product of linear factors.

Let . Use synthetic division to find the value .

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

Graph the given function.

Find all real zeros of the polynomial and determine the multiplicity of each.

Find all the real zeros of .

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

Find all the real zeros of .

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

Write as a product of linear factors.

Graph the function

Find the vertex of the parabola. y = 6x² - 4

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

Graph the function.

An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

Use synthetic division to perform the division.

Write in the form when .

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

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

Graph the given function.

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

Write as a product of linear factors.

Let . Use synthetic division to find the value .

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

Graph the given function.

Find all real zeros of the polynomial and determine the multiplicity of each.

Find all the real zeros of .

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

Find all the real zeros of .

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

Write as a product of linear factors.

Graph the function

Find the vertex of the parabola. y = 6x2 - 4

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

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

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

Find the vertex of the parabola. y = 6x² - 4