{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# chapter 1 answers - Chapter 1 The Derivative 1.1 The Slope...

This preview shows pages 1–4. Sign up to view the full content.

23 Chapter 1 The Derivative 1.1 The Slope of a Straight Line 1. 37 yx !" ; y -intercept: (0, 3), slope: ±7 2. 3 1 3 1 5 5 5 x # ! ! # ; y -intercept: 1 0, 5 \$% &’ () , slope: 3 5 3. 3 1 3 23 2 2 2 x x y y y x # ! " * ! * ! # ; y -intercept: 3 0, 2 , slope: 1 2 4. 6 0 6 y y x ! * ! # ; y -intercept: (0, 6), slope: 0 5. 1 55 77 x y y x ! " * ! " ; y -intercept: (0, ±5), slope: 1 7 6. 4 1 4 1 4 9 1 9 9 9 x x y y y x "" # ! " * ! * ! " " ; y -intercept: 1 0, 9 " , slope = 4 9 " 7. slope = –1, (7, 1) on line. Let ( x , y ) = (7, 1), m = –1. + , 11 1 ( 7) 8 " ! " * " ! " " * ! " # y y m x x y x 8. slope = 2; (1, ±2) on line. Let ( x , y ) = (1, ±2), m = 2. + , 2 2( 1) 24 " ! " * # ! " * y y m x x y x 9. slope = 1 2 ; (2, 1) on line. +,+, 1 Let , 2,1 ; . 2 x y m !! +, 1 12 2 1 2 y y m x x y x " ! " * " ! " * ! 10. slope 7 ; 3 ! , 45 " on line. 1 2 7 Let , , ; . 4 5 3 x y m ! " ! 2 7 1 5 3 4 7 59 3 60 " ! " * # ! " * y y m x x y x 11. ,5 and , 4 \$ % \$ % & & ( ) ( ) on line. 21 5 5 10 7 7 7 4 5 9 63 slope 10 yy xx " " " " ! ! ! ! " " " " 5 63 Let , ,5 , . 7 10 x y m 63 5 5 10 7 y y m x x y x " ! " * " ! " 12. 1 ,1 2 \$ % & ( ) and (1, 4) on line. 22 4 1 3 slope= 6 1 " " ! ! ! " " + , Let , (1,4), 6. x y m + , + , 4 6 1 62 y y m x x y x " ! " * " ! " * 13. (0, 0) and (1, 0) on line. 00 slope 0 10 0 0( 0) 0 y x y ! ! ! " ! " * ! 14. , 27 \$ % & ( ) and 2 3 \$ % & ( ) on line. + , 1 8 7 7 7 6 32 1 48 slope 49 m " ! ! ! ! ! " 2 Let , ,1 . 3 xy \$ % ! & ( ) 48 2 1 49 3 48 17 49 49 y y m x x y x " ! " * " ! " * !# 15. Horizontal through (2, 9). Let ( , ) (2,9), ! m = 0 (horizontal line). + , + , 9 0 2 9 y y m x x y x y " ! " * " ! " * !

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
24 Chapter 1: The Derivative 16. x -intercept is 1; y -intercept is –3. The intercepts (1, 0) and (0, –3) are on the line. 21 30 slope 3 01 yy m xx " " " ! ! ! ! "" y -intercept (0, b ) = (0, –3) 33 y mx b y x ! # * ! " 17. x -intercept is ; - " y -intercept is 1. The intercepts + , ,0 " and (0, 1) are on the line. 1 0 1 slope= 0 ( ) -- !! " " " y -intercept (0, b ) = (0, 1) 1 x y mx b y ! # * ! # 18. Slope = 2; x -intercept is –3. The x -intercept (–3, 0) is on the line. Let 11 ( , ) ( 3,0), 2. ! " ! x y m + , + , 0 2 3 26 y y m x x y x yx " ! " * " ! # * !# 19. Slope = ±2; x -intercept is –2. The x -intercept (–2, 0) is on the line. + , Let , ( 2,0), 2. x y m ! " ! + , + , 0 2 2 24 y y m x x y x " ! " * " ! " # * ! " " 20. Horizontal through + , 7,2 . + , + , Let , 7,2 , xy ! m = 0 (horizontal line). +, + , 2 0 7 2 y y m x x y x y " ! " * " ! " * ! 21. Parallel to y = x ; (2, 0) on line. + , Let , (2,0); ! slope = m = 1. + , + , 0 1 2 2 y y m x x y x " ! " * " ! " * !" 22. Parallel to x + 2 y = 0; (1, 2) on line. 2 0 ; 22 x y y x m # ! * ! " ! " + , Let , (1,2). ! 1 2 15 y y m x x y x " ! " * " ! " " * ! " # 23. Parallel to 37 ; x -intercept is 2. slope = m = 3. + , Let , (2, 0). ! + , + , 0 3 2 36 y y m x x y x " ! " * " ! " * 24. Parallel to 13 "! ; y -intercept is 0. 13 , slope = m = 1, b = 0. y mx b y x ! # * ! 25. Perpendicular to y + x = 0; (2, 0) on line. 1 1 2 2 2 0 slope 1 1 1 1 1 Let ( , ) (2,0). y x y x m m m m m # ! * ! " * ! ! " . ! " * " . ! " * ! ! + , 2 2 2 02 2 y y m x x y x " ! " * " ! " * 26. Perpendicular to 5 1; ! " # (1, 5) on line. slope = 1 5 m 1 2 2 2 1 1 5 1 5 m m m m . ! " * " ! " * ! Let ( , ) (1,5). ! 2 2 2 1 51 5 1 24 55 y y m x x y x " ! " * " ! " * 27. Start at (1, 0), then move one unit right and one unit up to (2, 1). 28. Start at (±1, 1), then move one unit up and two units to the right. 29. Start at (1, ±1), then move one unit up and three units to the left. Alternatively, move one unit down and three units to the right.
Section 1.1 The Slope of a Straight Line 25 30. Start at (0, 2), then move zero units up and any distance (for example, one unit) right. 31. (a)–(C) x - and y -intercepts are 1. (b)–(B) x -intercept is 1, y -intercept is –1. (c)–(D) x - and y -intercepts are –1. (d)–(A) x -intercept is –1, y -intercept is 1. 32. 11 20 22 x y y x m # ! * ! " * ! " The slope of the line through (±1, 2) and (3, b ) is also 1 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 48

chapter 1 answers - Chapter 1 The Derivative 1.1 The Slope...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online