1 (a) y = x-4 (b) y = x-5 (c) y = 2x Xー -2 -x + 2x-4 x-1 のy= x -4 (d) y = x-1 (e) y = x'(x-2) x-1 x +x-6 4x (h) y=マ4 (i) y=: X-1 8. (g) 00

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.6: More On Graphing Rational Functions
Problem 28PS
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Applications of Derivatives
Chapter Four
Нomework:
1. Find asymptotes of the following curves then graph them.
x-4
(b) y =
x- 5
x +4
(c) y =
2x
1
(a) y =-
x-2
-x' +2x -4
x-1
-4
(d) y =
x-1
(e) y =
() y =
x'(x-2)
x-1
x² +x - 6
8.
(g) y =
2+4
4x
(h) y=-
(i) y =
x² +4
x-1
x' -x+1
)y=マ-1
(k) y =
x-1
2. Graph the following functions:
x'-2x+2
(a) y 9x-x²
(b) y = x' - 3x +3
(c) y =
x-2
-x?
(d) y=
x+1
x-1
(Ay =
(e) y =
(g) y = x3
8
(h) y =
(1) y = 4-x|
4-x
) y = tanx+ sin x
(k) y= sinx -27 SxS 27
(1) y = sin x -2n Sxs 27
Note: When the function contains an absolute value, the function can be
graphed as two parts.
2. Related Rates of Changes:
Related Rate Problems Strategy:
Draw a picture and name the variables and constant. Use t for time.
Transcribed Image Text:Applications of Derivatives Chapter Four Нomework: 1. Find asymptotes of the following curves then graph them. x-4 (b) y = x- 5 x +4 (c) y = 2x 1 (a) y =- x-2 -x' +2x -4 x-1 -4 (d) y = x-1 (e) y = () y = x'(x-2) x-1 x² +x - 6 8. (g) y = 2+4 4x (h) y=- (i) y = x² +4 x-1 x' -x+1 )y=マ-1 (k) y = x-1 2. Graph the following functions: x'-2x+2 (a) y 9x-x² (b) y = x' - 3x +3 (c) y = x-2 -x? (d) y= x+1 x-1 (Ay = (e) y = (g) y = x3 8 (h) y = (1) y = 4-x| 4-x ) y = tanx+ sin x (k) y= sinx -27 SxS 27 (1) y = sin x -2n Sxs 27 Note: When the function contains an absolute value, the function can be graphed as two parts. 2. Related Rates of Changes: Related Rate Problems Strategy: Draw a picture and name the variables and constant. Use t for time.
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