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9780495018872

Study Guide with Solutions for Faires/DeFranza’s Precalculus, 4th

by ;
  • ISBN13:

    9780495018872

  • ISBN10:

    0495018872

  • Edition: 4th
  • Format: Paperback
  • Copyright: 2006-11-01
  • Publisher: Brooks Cole
  • View Upgraded Edition
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Summary

Authored by Faires and DeFranza. Besides providing complete solutions to all odd-numbered exercises in the text, this guide includes additional material for students who want a more intensive review of algebra and trigonometry. The Study Guide also includes two copies of an examination - one copy to be taken at the beginning of the course to test their readiness for PreCalculus and a second copy to be used at the end of the course so students can assess their improvement and readiness for calculus.

Table of Contents

Functions
1(98)
Introduction
1(1)
The Real Line
1(20)
Set and Interval Notation
3(2)
Exponents and Radicals
5(2)
Special Products and Factoring
7(3)
Solving Equations
10(4)
Solving Inequalities
14(2)
Inequalities Involving Absolute Values
16(2)
Solutions for Exercise Set 1.2 (Text Page 12)
18(3)
The Cartesian Plane
21(10)
Describing Regions in the Plane
21(1)
The Distance Formula
22(1)
The Equation of a Circle
23(3)
Solutions for Exercise Set 1.3 (Text Page 19)
26(5)
The Graph of an Equation
31(8)
Plotting Points
31(1)
Symmetry
32(3)
Solutions for Exercise Set 1.4 (Text Page 25)
35(4)
Using Technology to Graph Equations
39(4)
Solutions for Exercise Set 1.5 (Text Page 32)
42(1)
Functions
43(16)
Evaluation of Functions
43(2)
Domain and Range
45(1)
Vertical and Horizontal Line Tests
46(1)
Difference Quotients
47(1)
Odd and Even Functions
48(2)
Applications
50(2)
Solutions for Exercise Set 1.6 (Text Page 46)
52(7)
Linear Functions
59(11)
The Slope of a Line
59(3)
Point-Slope Equation of a Line
62(1)
Slope-Intercept Equation of a Line
63(1)
Parallel and Perpendicular Lines
63(3)
Application
66(1)
Solutions for Exercise Set 1.7 (Text Page 58)
66(4)
Quadratic Functions
70(29)
Completing the Square
70(1)
Horizontal and Vertical Shifts
71(2)
Vertical Scaling and Reflection
73(6)
Solutions for Exercise Set 1.8 (Text Page 69)
79(6)
Solutions for Review Exercises (Text Page 71)
85(9)
Solutions for Calculus Exercises (Text Page 75)
94(2)
Solutions for Chapter Test (Text Page 76)
96(3)
New Functions from Old
99(48)
Introduction
99(1)
Other Common Functions
99(9)
The Absolute Value Function
99(2)
The Square Root Function
101(1)
The Greatest Integer Function
102(1)
Solutions for Exercise Set 2.2 (Text Page 86)
103(5)
Arithmetic Combinations of Functions
108(9)
The Reciprocal Graphing Technique
112(3)
Solutions for Exercise Set 2.3 (Text Page 95)
115(2)
Composition of Functions
117(10)
Solutions for Exercise Set 2.4 (Text Page 104)
131
Inverse Functions
127(20)
One-to-One Functions
127(1)
Process for Finding an Inverse Function
128
Solutions for Exercise Set 2.5 (Text Page 114)
126(10)
Solutions for Review Exercises (Text Page 115)
136(5)
Solutions for Calculus Exercises (Text Page 118)
141(4)
Solutions for Chapter Test (Text Page 119)
145(2)
Algebraic Functions
147(76)
Introduction
147(1)
Polynomial Functions
147(14)
Graphing Polynomial Functions
148(2)
Zeros and End Behavior in Sketching Polynomials
150(7)
Solutions for Exercise Set 3.2 (Text Page 133)
157(4)
Finding Factors and Zeros of Polynomials
161(19)
Division of Polynomials
162(1)
The Factor Theorem
163(1)
Synthetic Division
164(3)
The Rational Zero Test
167(6)
Descarte's Rule of Signs
173(1)
Solutions for Exercise Set 3.3 (Text Page 148)
174(6)
Rational Functions
180(15)
Domains and Ranges of Rational Functions
180(1)
Horizontal and Vertical Asymptotes
181(4)
Slant Asymptotes
185(2)
Applications
187(2)
Solutions for Exercise Set 3.4 (Text Page 157)
189(6)
Other Algebraic Functions
195(6)
Power Functions
195(3)
Solutions for Exercise Set 3.5 (Text Page 163)
198(3)
Complex Roots of Polynomials
201(22)
Arithmetic Operations on Complex Numbers
201(2)
Complex Zeros of Polynomials
203(3)
Solutions for Exercise Set 3.6 (Text Page 172)
206(3)
Solutions for Review Exercises (Text Page 173)
209(10)
Solutions for Calculus Exercises (Text Page 176)
219(2)
Solutions for Chapter Test (Text Page 178)
221(2)
Trigonometric Functions
223(84)
Introduction
223(1)
Measuring Angles
223(7)
The Unit Circle
224(1)
Terminal Points
225(2)
Reference Number
227(1)
Solutions for Exercise Set 4.2 (Text Page 187)
228(2)
The Sine and Cosine Functions
230(19)
Solutions for Exercise Set 4.3 (Text Page 200)
233(16)
Graphs of the Sine and Cosine Functions
249(1)
Solutions for Exercise Set 4.4 (Text Page 210)
245(4)
Other Trigonometric Functions
249(10)
Other Graphic Information
251(4)
Solutions for Exercise Set 4.5 (Text Page 219)
255(4)
Trigonometric Identities
259(13)
Fundamental Identities
259(2)
Addition and Subtraction Identities
261(2)
Double Angle Formulas
263(2)
Half Angle Formulas
265(1)
Product-to-Sum and Sum-to-Product Identities
266(1)
Solving Trigonometric Equations
267(1)
Solutions for Exercise Set 4.6 (Text Page 231)
268(4)
Right Triangle Trigonometry
272(8)
Angle Measure: Radians and Degrees
272(1)
Trigonometric Functions of an angle in a Right Triangle
272(3)
Applications
275(1)
Solutions for Exercise Set 4.7 (Text Page 237)
276(4)
Inverse Trigonometric Functions
280(6)
Summary of the Inverse Trigonometric Functions
280(3)
Solutions for Exercise Set 4.8 (Text Page 246)
283(3)
Applications of Trigonometric Functions
286(21)
Law of Cosines
286(1)
Law of Sines
287(3)
Heron's Formula
290(1)
Solutions for Exercise Set 4.9 (Text Page 260)
290(4)
Solutions for Review Exercises (Text Page 262)
294(8)
Solutions for Calculus Exercises (Text Page 264)
302(1)
Solutions for Chapter Test (Text Page 266)
303(4)
Exponential and Logarithm Functions
307(44)
Introduction
307(1)
The Natural Exponential Function
307(14)
Graphs of Exponential Functions
308(3)
The Natural Exponential Function
311(3)
Solving Equations Involving ex
314(1)
Compound Interest
315(2)
Solutions for Exercise Set 5.2 (Text Page 282)
317(4)
Logarithm Functions
321(30)
Evaluation of Logarithms
321(2)
Arithmetic Properties of Logarithms
323(4)
Graphs of Logarithm Functions
327(4)
Solutions for Exercise Set 5.3 (Text Page 292)
331(7)
Solutions for Exercise Set 5.4 (Text Page 298)
338(4)
Solutions for Review Exercises (Text Page 300)
342(4)
Solutions for Calculus Exercises (Text Page 301)
346(3)
Solutions for Chapter Test (Text Page 302)
349(2)
Conic Sections, Polar Coordinates, and Parametric Equations
351(73)
Introduction
351(1)
Parabolas
351(13)
Standard Position Parabolas
351(10)
Solutions for Exercise Set 6.2 (Text Page 313)
361(3)
Ellipses
364(8)
Standard Position Ellipses
365(3)
Solutions for Exercise Set 6.3 (Text Page 321)
368(4)
Hyperbolas
372(8)
Standard Position Hyperbolas
372(5)
Solutions for Exercise Set 6.4 (Text Page 329)
377(3)
Polar Coordinates
380(15)
Polar Coordinates To Rectangular Coordinates
382(3)
Rectangular Coordinates To Polar Coordinates
385(3481)
Graphs of Polar Equations
3866
Intersection of Polar Curves
388(2)
Solutions for Exercise Set 6.5 (Text Page 341)
390(5)
Conic Sections in Polar Coordinates
395(8)
Application
398(1)
Solutions for Exercise Set 6.6 (Text Page 348)
399(4)
Parametric Equations
403(21)
Solutions for Exercise Set 6.7 (Text Page 353)
411(4)
Solutions for Review Exercises (Text Page 354)
415(6)
Solutions for Calculus Exercises (Text Page 355)
421(3)
Solutions for Chapter Test (Text Page 357)
424

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