Solutions Manual For
Precalculus with Limits 5th
Edition By Ron Larson, Paul
Battaglia
(All Chapters 1-12, 100%
Original Verified, A+ Grade)
This is The Original Solutions
Manual For 5th Edition, All
other Files in The Market are
Fake/Old/Wrong Edition.
, CONTENTS
Part I Solutions to All Exercises .................................................................... 1
Chapter 1 Functions and Their Graphs................................................................... 1
Chapter 2 Polynomial and Rational Functions .................................................. 117
Chapter 3 Exponential and Logarithmic Functions ........................................... 233
Chapter 4 Trigonometry ...................................................................................... 303
Chapter 5 Analytic Trigonometry....................................................................... 401
Chapter 6 Additional Topics in Trigonometry ................................................... 485
Chapter 7 Systems of Equations and Inequalities .............................................. 567
Chapter 8 Matrices and Determinants ................................................................ 681
Chapter 9 Sequences, Series, and Probability .................................................... 778
Chapter 10 Topics in Analytic Geometry............................................................. 858
Chapter 11 Analytic Geometry in Three Dimensions ....................................... 1004
Chapter 12 Limits and an Introduction to Calculus ........................................... 1049
Chapter 13 Concepts in Statistics ....................................................................... 1114
Appendix A Review of Fundamental Concepts of Algebra ................................ 1147
Solutions to Checkpoints ............................................................... 1194
Solutions to Practice Tests ............................................................ 1408
Part II Solutions to Chapter and Cumulative Tests............................... 1438
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates ........................................................................ 2
Section 1.2 Graphs of Equations ............................................................................... 7
Section 1.3 Linear Equations in Two Variables .....................................................17
Section 1.4 Functions ...............................................................................................31
Section 1.5 Analyzing Graphs of Functions ...........................................................40
Section 1.6 A Library of Parent Functions ............................................................. 52
Section 1.7 Transformations of Functions .............................................................. 57
Section 1.8 Combinations of Functions: Composite Functions ............................. 69
Section 1.9 Inverse Functions..................................................................................77
Section 1.10 Mathematical Modeling and Variation ................................................88
Review Exercises ..........................................................................................................96
Problem Solving .........................................................................................................109
Practice Test .............................................................................................................115
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates
1. Cartesian 16. x < 0 and y < 0 in Quadrant III.
2. Midpoint Formula 17. x = − 4 and y > 0 in Quadrant II.
3. The x-axis is the horizontal real number line. 18. x < 0 and y = 7 in Quadrant II.
Matches (c).
19. x + y = 0, x ≠ 0, y ≠ 0 means
4. The y-axis is the vertical real number line. x = − y or y = − x. This occurs in Quadrant II or IV.
Matches (f).
5. The origin is the point of intersection of the vertical
20. ( x, y ), xy > 0 means x and y have the same signs.
and horizontal axes. This occurs in Quadrant I or III.
Matches (a).
21.
6. The quadrants are four regions of the coordinate plane.
Matches (d).
7. An x-coordinate is the directed distance from the
y-axis. Matches (e).
8. A y-coordinate is the directed distance from the x-axis.
Matches (b).
9. A: ( 2, 6), B: ( −6, − 2), C: ( 4, − 4), D: ( −3, 2)
22.
10. A: ( 32 , − 4); B: (0, − 2); C: (−3, 52 ); D: (−6, 0)
11.
( x2 − x1 ) + ( y2 − y1 )
2 2
23. d =
(3 − (−2))
2
+ ( −6 − 6)
2
=
12. = (5)
2
+ ( −12)
2
= 25 + 144
= 13 units
( x2 − x1 ) + ( y2 − y1 )
2 2
24. d =
= (0 − 8)2 + ( 20 − 5)
2
(−8) + (15)
2 2
=
13. ( − 3, 4)
= 64 + 225
14. ( −12, 0) = 289
15. x > 0 and y < 0 in Quadrant IV. = 17 units
Precalculus with Limits 5th
Edition By Ron Larson, Paul
Battaglia
(All Chapters 1-12, 100%
Original Verified, A+ Grade)
This is The Original Solutions
Manual For 5th Edition, All
other Files in The Market are
Fake/Old/Wrong Edition.
, CONTENTS
Part I Solutions to All Exercises .................................................................... 1
Chapter 1 Functions and Their Graphs................................................................... 1
Chapter 2 Polynomial and Rational Functions .................................................. 117
Chapter 3 Exponential and Logarithmic Functions ........................................... 233
Chapter 4 Trigonometry ...................................................................................... 303
Chapter 5 Analytic Trigonometry....................................................................... 401
Chapter 6 Additional Topics in Trigonometry ................................................... 485
Chapter 7 Systems of Equations and Inequalities .............................................. 567
Chapter 8 Matrices and Determinants ................................................................ 681
Chapter 9 Sequences, Series, and Probability .................................................... 778
Chapter 10 Topics in Analytic Geometry............................................................. 858
Chapter 11 Analytic Geometry in Three Dimensions ....................................... 1004
Chapter 12 Limits and an Introduction to Calculus ........................................... 1049
Chapter 13 Concepts in Statistics ....................................................................... 1114
Appendix A Review of Fundamental Concepts of Algebra ................................ 1147
Solutions to Checkpoints ............................................................... 1194
Solutions to Practice Tests ............................................................ 1408
Part II Solutions to Chapter and Cumulative Tests............................... 1438
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates ........................................................................ 2
Section 1.2 Graphs of Equations ............................................................................... 7
Section 1.3 Linear Equations in Two Variables .....................................................17
Section 1.4 Functions ...............................................................................................31
Section 1.5 Analyzing Graphs of Functions ...........................................................40
Section 1.6 A Library of Parent Functions ............................................................. 52
Section 1.7 Transformations of Functions .............................................................. 57
Section 1.8 Combinations of Functions: Composite Functions ............................. 69
Section 1.9 Inverse Functions..................................................................................77
Section 1.10 Mathematical Modeling and Variation ................................................88
Review Exercises ..........................................................................................................96
Problem Solving .........................................................................................................109
Practice Test .............................................................................................................115
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates
1. Cartesian 16. x < 0 and y < 0 in Quadrant III.
2. Midpoint Formula 17. x = − 4 and y > 0 in Quadrant II.
3. The x-axis is the horizontal real number line. 18. x < 0 and y = 7 in Quadrant II.
Matches (c).
19. x + y = 0, x ≠ 0, y ≠ 0 means
4. The y-axis is the vertical real number line. x = − y or y = − x. This occurs in Quadrant II or IV.
Matches (f).
5. The origin is the point of intersection of the vertical
20. ( x, y ), xy > 0 means x and y have the same signs.
and horizontal axes. This occurs in Quadrant I or III.
Matches (a).
21.
6. The quadrants are four regions of the coordinate plane.
Matches (d).
7. An x-coordinate is the directed distance from the
y-axis. Matches (e).
8. A y-coordinate is the directed distance from the x-axis.
Matches (b).
9. A: ( 2, 6), B: ( −6, − 2), C: ( 4, − 4), D: ( −3, 2)
22.
10. A: ( 32 , − 4); B: (0, − 2); C: (−3, 52 ); D: (−6, 0)
11.
( x2 − x1 ) + ( y2 − y1 )
2 2
23. d =
(3 − (−2))
2
+ ( −6 − 6)
2
=
12. = (5)
2
+ ( −12)
2
= 25 + 144
= 13 units
( x2 − x1 ) + ( y2 − y1 )
2 2
24. d =
= (0 − 8)2 + ( 20 − 5)
2
(−8) + (15)
2 2
=
13. ( − 3, 4)
= 64 + 225
14. ( −12, 0) = 289
15. x > 0 and y < 0 in Quadrant IV. = 17 units
