Name:    Chapter 3 Pre Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Select the graph of the function . Compare the graph of this function with the graph of .
 a. Horizontal shift units to the right. d. Horizontal shift units to the right. b. Horizontal shift units to the right. e. Horizontal shift units to the right. c. Horizontal shift unit to the right.

2.

The total revenue earned per day (in dollars) from a pet-sitting service is given by

where is the price charged per pet (in dollars).

Find the revenue when the price per pet is \$.
 a. b. c. d. e.

3.

From the graph of the quadratic function , determine the equation of the axis of symmetry.
 a. b. c. d. e.

4.

Write the quadratic function in standard form.
 a. b. c. d. e.

5.

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

6.

A Norman window has the shape of a rectangle surmounted by a semicircle as in the figure below. If the perimeter of the window is , express the area, A, as a function of the width, x, of the window.
 a. b. c. d. e.

7.

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

 a. Rises to the left, falls to the right b. Rises to the right, rises to the left c. Falls to the left, rises to the right d. Falls to the right e. Falls to the left, falls to the right

8.

Select the graph of the function and determine the zeros of the polynomial.

 a. d. b. e. c.

9.

Select the graph of the function and use the zero or root feature to approximate the real zeros of the function.

 a. Zeros: d. Zeros: b. Zeros: e. Zeros: c. Zeros:

10.

Select the graph of the function and use the zero or root feature to approximate the real zeros of the function.

 a. Zeros: d. Zeros: b. Zeros: e. Zeros: c. Zeros:

11.

Use the Remainder Theorem and synthetic division to find the function value.

 a. 6 b. 3 c. –3 d. 8 e. 7

12.

Determine whether the statement is true or false. Justify your answer.

The rational expression

is improper.
 a. True. The degree of the numerator is greater than the degree of the denominator. b. False. The degree of the denominator is smaller than the degree of the  numerator.

13.

Use long division to divide.
 a. b. c. d. e.

14.

Use the Remainder Theorem and synthetic division to find the function value. Verify your
answer using another method.

 a. –343 b. 343 c. 345 d. 340 e. 344

15.

Use synthetic division to divide.

 a. , b. , c. , d. , e. ,

16.

Find a polynomial function with real coefficients that has the given zeros.

 a. b. c. d. e.

17.

Find all real solutions of the polynomial equation .
 a. b. c. d. e.

18.

Given   is a root, determine all other roots of .
 a. b. c. d. e.

19.

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
 a. 1 positive real; 3 negative reals or 1 negative real b. no positive reals; no negative reals c. 1 positive real; 5 negative reals or 3 negative reals or 1 negative real d. 5 positive reals or 3 positive reals or 1 positive real; no negative reals e. 3 positive reals or 1 positive real; 3 negative reals or 1 negative real

20.

Use the given value of k to complete the table for the inverse variation model

.

Plot the points on a rectangular coordinate system.

 x 2 4 6 8 10

 a. b. c. d. e.