Question Bank in line with Precalculus A Concise Course, Larson ,1e

Test Item File for

Precalculus
Seventh Edition

and


Precalculus with Limits

Larson/Hostetler




HOUGHTON MIFFLIN COMPANY Boston New York

,Publisher: Richard Stratton
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GENERAL TABLE OF CONTENTS

Chapter 1 Functions and Their Graphs 1
Chapter 2 Polynomial and Rational Functions 37
Chapter 3 Exponential and Logarithmic Functions 54
Chapter 4 Trigonometry 66
Chapter 5 Analytic Trigonometry 87
Chapter 6 Additional Topics in Trigonometry 93
Chapter 7 Systems of Equations and Inequalities 107
Chapter 8 Matrices and Determinants 126
Chapter 9 Sequences, Series, and Probability 140
Chapter 10 Topics in Analytic Geometry 152
Chapter 11 Analytic Geometry in Three Dimensions 177
Chapter 12 Limits and an Introduction to Calculus 190
Appendix A Review of Fundamental Concepts of Algebra 203
ANSWERS TO EXERCISES 217


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ISBN 13: 978-0-618-64351-6
ISBN 10: 0-618-64351-6

123456789 CRS 11 10 09 08 07 06

, Section 1.1 - Rectangular Coordinates


Section 1.1 - Rectangular Coordinates

Objective 1 - Plot points in the Cartesian plane

b g b g b g
1. Identify the graph of the points A 3, 0 , B 2, 3 , and C 0, 2 .
[A] y [B] y
5 5
A
B
A C
−5 C 5 x −5 5 x
B

−5 −5

[C] y [D] y
5 5
B
C
C A
−5 B 5 x −5 5 x
A

−5 −5



b g
2. Determine the quadrant in which x , y is located so that the conditions are satisfied.
x < 0 and y < 0
[A] Quadrant I [B] Quadrant II [C] Quadrant III [D] Quadrant IV

Objective 2 - Use the Distance Formula to find the distance between two points




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, Chapter 1 - Functions and Their Graphs


3. Find the length of the hypotenuse of the triangle.
y
10




–10 10 x




–10

[A] 12.04 [B] 6.4 [C] 4.12 [D] 13

4. Find the distance between the points. [A] 34 [B] 8 [C] 34 [D] 2 2
d
FG 0, 3IJ and − 5, 0
H K i
Objective 3 - Use the Midpoint Forumula to find the midpoint of a line segment

b
5. Find the midpoint of the line segment connecting 13, 17 and – 12, – 18 . g b g
b– 1, 1g FG 25, 35IJ FG 1 , − 1 IJ b1, – 1g
[A] [B]
H 2 2K [C]
H 2 2K [D]


6. Find the midpoint of DE.
y
10



D

–10 E 10 x




–10

[A] b1, – 2g [B] b– 1, 2g [C] b– 2, 1g [D] b2, – 1g

2 Copyright © Houghton Mifflin Company. All rights reserved.