Solutions Manual For
Precalculus 10th Edition By Ron
Larson
(All Chapters 1-10, 100%
Original Verified, A+ Grade)
This is The Original Solutions
Manual For 10th Edition, All
other Files in The Market are
Fake/Old/Wrong Edition.
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates ........................................................................ 2
Section 1.2 Graphs of Equations ............................................................................... 8
Section 1.3 Linear Equations in Two Variables .....................................................19
Section 1.4 Functions ...............................................................................................33
Section 1.5 Analyzing Graphs of Functions ...........................................................42
Section 1.6 A Library of Parent Functions ............................................................. 52
Section 1.7 Transformations of Functions ..............................................................57
Section 1.8 Combinations of Functions: Composite Functions ............................. 67
Section 1.9 Inverse Functions..................................................................................76
Section 1.10 Mathematical Modeling and Variation ................................................89
Review Exercises ..........................................................................................................96
Problem Solving .........................................................................................................109
Practice Test .............................................................................................................115
© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates
1. Cartesian 15.
Year, x Number of Stores, y
2. quadrants 2008 7720
3. Distance Formula 2009 8416
4. Midpoint Formula 2010 8970
5. y 2011 10,130
8
2012 10,773
6
(2, 4)
(− 6, 2)
4
2013 10,942
2
(− 4, 0)
x
−8 −6 −4 −2 2 4 6 8
2014 11,453
(3, − 1)
−4
(1.5, − 3.5) y
−6
(− 1, − 8) 11,500
11,000
Number of stores
10,500
6. y 10,000
9500
8 9000
(− 2, 4)
6
4
(0, 5) (23, 52) 8500
8000
7500
2 (3, 3)
7000
x x
−8 −6 −4 2 4 6 8 2008 2009 2010 2011 2012 2013 2014
−2
Year
−4
(1, − 5)
−6
(− 2, − 7) 16.
−8 y
7. ( − 3, 4)
40
Month, x Temperature, y 30
Temperature (in °F)
20
1 – 39
8. ( −12, 0)
10
0 x
2 6 8 10 12
2 – 39 − 10
9. x > 0 and y < 0 in Quadrant IV. − 20
3 – 29 − 30
− 40
10. x < 0 and y < 0 in Quadrant III.
4 –5 Month (1 ↔ January)
11. x = −4 and y > 0 in Quadrant II. 5 17
12. x < 0 and y = 7 in Quadrant II. 6 27
7 35
13. x + y = 0, x ≠ 0, y ≠ 0 means x = − y or y = − x.
This occurs in Quadrant II or IV. 8 32
9 22
14. ( x, y), xy > 0 means x and y have the same signs.
This occurs in Quadrant I or III. 10 8
11 – 23
12 – 34
2 © 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, Section 1.1 Rectangular Coordinates 3
( x2 − x1 ) + ( y2 − y1 ) ( x2 − x1 ) + ( y2 − y1 )
2 2 2 2
17. d = 22. d =
(3 − ( −2 )) − 9.5) + (8.2 − ( −2.6))
2 2
+ ( −6 − 6 )
2
(−3.9
2
= =
(5) + ( −12)
2 2
(−13.4) + (10.8)
2 2
= =
= 25 + 144 = 179.56 + 116.64
= 13 units = 296.2
≈ 17.21 units
18. d = ( x2 − x1 ) + ( y2 − y1 )
2 2
23. (a) (1, 0), (13, 5)
(0 − 8) + ( 20 − 5)
2 2
=
= (−8)2 + (15)
2 Distance = (13 − 1)2 + (5 − 0)
2
= 64 + 225 = 122 + 52 = 169 = 13
= 289 (13, 5), (13, 0)
= 17 units Distance = 5 − 0 = 5 = 5
19. d = ( x2 − x1 ) + ( y2 − y1 )
2 2 (1, 0), (13, 0)
Distance = 1 − 13 = −12 = 12
(−5 − 1) + ( −1 − 4 )
2 2
=
(b) 5 2 + 12 2 = 25 + 144 = 169 = 132
( −6 ) + ( −5)
2 2
=
= 36 + 25 24. (a) The distance between ( −1, 1) and (9, 1) is 10.
= 61 units The distance between (9, 1) and (9, 4) is 3.
The distance between ( −1, 1) and (9, 4) is
( x2 − x1 ) + ( y2 − y1 )
2 2
20. d =
(9 − (−1))
2
+ ( 4 − 1)
2
= (3 − 1)
2
+ ( −2 − 3)
2 = 100 + 9 = 109.
( )
2
( 2) + ( −5)
2 2
= (b) 10 2 + 32 = 109 = 109
= 4 + 25
(4 − 2) + (0 − 1)
2 2
= 29 units 25. d1 = = 4+1 = 5
(4 + 1) + (0 + 5)
2 2
d2 = = 25 + 25 = 50
( x2 − x1 ) + ( y2 − y1 )
2 2
21. d =
(2 + 1) + (1 + 5)
2 2
d3 = = 9 + 36 = 45
2 2
1 4
= 2 − + −1 −
( 5) ( ) ( )
2 2 2
2 3 + 45 = 50
2 2
3 7
= + −
(3 − (−1))
2
+ (5 − 3) =
2
2 3 26. d1 = 16 + 4 = 20
9 49
(5 − 3) + (1 − 5) =
2 2
= + d2 = 4 + 16 = 20
4 9
(5 − (−1))
2
+ (1 − 3) =
2
277 d3 = 36 + 4 = 40
=
36
( ) ( ) ( )
2 2 2
20 + 20 = 40
277
= units
6
© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
Precalculus 10th Edition By Ron
Larson
(All Chapters 1-10, 100%
Original Verified, A+ Grade)
This is The Original Solutions
Manual For 10th Edition, All
other Files in The Market are
Fake/Old/Wrong Edition.
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates ........................................................................ 2
Section 1.2 Graphs of Equations ............................................................................... 8
Section 1.3 Linear Equations in Two Variables .....................................................19
Section 1.4 Functions ...............................................................................................33
Section 1.5 Analyzing Graphs of Functions ...........................................................42
Section 1.6 A Library of Parent Functions ............................................................. 52
Section 1.7 Transformations of Functions ..............................................................57
Section 1.8 Combinations of Functions: Composite Functions ............................. 67
Section 1.9 Inverse Functions..................................................................................76
Section 1.10 Mathematical Modeling and Variation ................................................89
Review Exercises ..........................................................................................................96
Problem Solving .........................................................................................................109
Practice Test .............................................................................................................115
© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates
1. Cartesian 15.
Year, x Number of Stores, y
2. quadrants 2008 7720
3. Distance Formula 2009 8416
4. Midpoint Formula 2010 8970
5. y 2011 10,130
8
2012 10,773
6
(2, 4)
(− 6, 2)
4
2013 10,942
2
(− 4, 0)
x
−8 −6 −4 −2 2 4 6 8
2014 11,453
(3, − 1)
−4
(1.5, − 3.5) y
−6
(− 1, − 8) 11,500
11,000
Number of stores
10,500
6. y 10,000
9500
8 9000
(− 2, 4)
6
4
(0, 5) (23, 52) 8500
8000
7500
2 (3, 3)
7000
x x
−8 −6 −4 2 4 6 8 2008 2009 2010 2011 2012 2013 2014
−2
Year
−4
(1, − 5)
−6
(− 2, − 7) 16.
−8 y
7. ( − 3, 4)
40
Month, x Temperature, y 30
Temperature (in °F)
20
1 – 39
8. ( −12, 0)
10
0 x
2 6 8 10 12
2 – 39 − 10
9. x > 0 and y < 0 in Quadrant IV. − 20
3 – 29 − 30
− 40
10. x < 0 and y < 0 in Quadrant III.
4 –5 Month (1 ↔ January)
11. x = −4 and y > 0 in Quadrant II. 5 17
12. x < 0 and y = 7 in Quadrant II. 6 27
7 35
13. x + y = 0, x ≠ 0, y ≠ 0 means x = − y or y = − x.
This occurs in Quadrant II or IV. 8 32
9 22
14. ( x, y), xy > 0 means x and y have the same signs.
This occurs in Quadrant I or III. 10 8
11 – 23
12 – 34
2 © 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, Section 1.1 Rectangular Coordinates 3
( x2 − x1 ) + ( y2 − y1 ) ( x2 − x1 ) + ( y2 − y1 )
2 2 2 2
17. d = 22. d =
(3 − ( −2 )) − 9.5) + (8.2 − ( −2.6))
2 2
+ ( −6 − 6 )
2
(−3.9
2
= =
(5) + ( −12)
2 2
(−13.4) + (10.8)
2 2
= =
= 25 + 144 = 179.56 + 116.64
= 13 units = 296.2
≈ 17.21 units
18. d = ( x2 − x1 ) + ( y2 − y1 )
2 2
23. (a) (1, 0), (13, 5)
(0 − 8) + ( 20 − 5)
2 2
=
= (−8)2 + (15)
2 Distance = (13 − 1)2 + (5 − 0)
2
= 64 + 225 = 122 + 52 = 169 = 13
= 289 (13, 5), (13, 0)
= 17 units Distance = 5 − 0 = 5 = 5
19. d = ( x2 − x1 ) + ( y2 − y1 )
2 2 (1, 0), (13, 0)
Distance = 1 − 13 = −12 = 12
(−5 − 1) + ( −1 − 4 )
2 2
=
(b) 5 2 + 12 2 = 25 + 144 = 169 = 132
( −6 ) + ( −5)
2 2
=
= 36 + 25 24. (a) The distance between ( −1, 1) and (9, 1) is 10.
= 61 units The distance between (9, 1) and (9, 4) is 3.
The distance between ( −1, 1) and (9, 4) is
( x2 − x1 ) + ( y2 − y1 )
2 2
20. d =
(9 − (−1))
2
+ ( 4 − 1)
2
= (3 − 1)
2
+ ( −2 − 3)
2 = 100 + 9 = 109.
( )
2
( 2) + ( −5)
2 2
= (b) 10 2 + 32 = 109 = 109
= 4 + 25
(4 − 2) + (0 − 1)
2 2
= 29 units 25. d1 = = 4+1 = 5
(4 + 1) + (0 + 5)
2 2
d2 = = 25 + 25 = 50
( x2 − x1 ) + ( y2 − y1 )
2 2
21. d =
(2 + 1) + (1 + 5)
2 2
d3 = = 9 + 36 = 45
2 2
1 4
= 2 − + −1 −
( 5) ( ) ( )
2 2 2
2 3 + 45 = 50
2 2
3 7
= + −
(3 − (−1))
2
+ (5 − 3) =
2
2 3 26. d1 = 16 + 4 = 20
9 49
(5 − 3) + (1 − 5) =
2 2
= + d2 = 4 + 16 = 20
4 9
(5 − (−1))
2
+ (1 − 3) =
2
277 d3 = 36 + 4 = 40
=
36
( ) ( ) ( )
2 2 2
20 + 20 = 40
277
= units
6
© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
