Question 1

Find the vertex of the parabola. y = x2 - 6x + 9

Accepted Answer

A) (-3, 0) 
B) (3, 0) 
C) (0, 3) 
D) (9, 0) 
E) (3, -3) 
A) (-3, 0) 
B) (3, 0) 
C) (0, 3) 
D) (9, 0) 
E) (3, -3)

Question 2

Find all zeros of the function   .

Accepted Answer

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

Question 3

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 4

Write   in the form   when   .

Accepted Answer

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

Question 5

Graph the quadratic function.

Accepted Answer

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

Question 6

Determine the zeros (if any) of the rational function   .

Accepted Answer

A) no zeros 
B)    
C)    
D)    
E)    
A) no zeros 
B)    
C)    
D)    
E)

Question 7

Find the standard form of the quadratic function shown below:

Accepted Answer

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

Question 8

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 9

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 10

Find all zeros of the function   .

Accepted Answer

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

Question 11

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 12

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 13

Graph the polynomial function.

Accepted Answer

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

Question 14

An open box is to be made from a square piece of cardboard, 21 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 15

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 16

A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Accepted Answer

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

Question 17

Graph the quadratic function.

Accepted Answer

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

Question 18

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 19

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 20

Simplify the expression. i -6

Accepted Answer

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

Find the vertex of the parabola. y = x² - 6x + 9

Find all zeros of the function .

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

Write in the form when .

Graph the quadratic function.

Determine the zeros (if any) of the rational function .

Find the standard form of the quadratic function shown below:

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.

Find a polynomial with the given zeros.

Find all zeros of the function .

Use synthetic division to perform the division.

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

Graph the polynomial function.

An open box is to be made from a square piece of cardboard, 21 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.

Find a polynomial with the given zeros.

A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Graph the quadratic function.

Use synthetic division to perform the division.

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.

Simplify the expression. i^-6

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 - 6x + 9

Find all zeros of the function .

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

Write in the form when .

Graph the quadratic function.

Determine the zeros (if any) of the rational function .

Find the standard form of the quadratic function shown below:

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.

Find a polynomial with the given zeros.

Find all zeros of the function .

Use synthetic division to perform the division.

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

Graph the polynomial function.

An open box is to be made from a square piece of cardboard, 21 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.

Find a polynomial with the given zeros.

A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

Graph the quadratic function.

Use synthetic division to perform the division.

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.

Simplify the expression. i -6

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 - 6x + 9

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.

Simplify the expression. i^-6