6(x+1 ) 4 (x- 2)* Kal Determine any asymptotes and y-intercept of the graph of f (x). 3x – 3 -3x 3. Given:f(x) = * f'(x) = , f"x) = (x- 2)' (x-2)3 a) S1 Use the first derivative test with an interval table to determine where f(x) is increasing / decreasing. Then identify any local maxima/minima points. b) Local maxima points (if any): . Local minima points (if any): c) Use the second derivative test with an interval table to determine where f(x) is concave up / down. Then identify any point(s) of inflection Point(s) of inflection (if any): d) - „ Use the information from above to sketch the graph of f(x). Label all important points and key features. 3f 21 -6 -5 -4 -3 -2 -1 3 -1 -2 -3t

6(x+1 ) 4 (x- 2)* Kal Determine any asymptotes and y-intercept of the graph of f (x). 3x – 3 -3x 3. Given:f(x) = * f'(x) = , f"x) = (x- 2)' (x-2)3 a) S1 Use the first derivative test with an interval table to determine where f(x) is increasing / decreasing. Then identify any local maxima/minima points. b) Local maxima points (if any): . Local minima points (if any): c) Use the second derivative test with an interval table to determine where f(x) is concave up / down. Then identify any point(s) of inflection Point(s) of inflection (if any): d) - „ Use the information from above to sketch the graph of f(x). Label all important points and key features. 3f 21 -6 -5 -4 -3 -2 -1 3 -1 -2 -3t

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Question

3. Given:f(x) = * l"(x) = , f"(x) = x+1)
(х-2 )3
Зх — 3
-3x
2, f'(x)
(x- 2)'
3. Given:f (x)
4
(х-2)*
a)
Ke] Determine any asymptotes and y-intercept of the graph of f (x).
b)
] Use the first derivative test with an interval table to determine where f(x) is increasing
/ decreasing. Then identify any local maxima/minima points.
Local maxima points (if any):.
Local minima points (if any):
c)
Use the second derivative test with an interval table to determine where f(x) is concave
up / down. Then identify any point(s) of inflection
Point(s) of inflection (if any):
d) - , Use the information from above to sketch the graph of f (x).
Label all important points and key features.
31
2
1
-6
-5
-4
-3
-2
-1
2
6.
-1
-2
-3t

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