4. Determine each of the following for the function given. Fill in each blank, and then graph the function. If no answer, write “none". x2 + 4 f(x) = f'(x) = 4- x²)=i 16(4 + 3x?) (4 – x²)3 16x f"(x) = 4 - x2 Critical value(s): a. b. Local maximum(a) and/or minimum(a): c. Interval(s) where f is increasing: d. Interval(s) where f is decreasing: e. Inflection point(s): f. Interval(s) where f is concave up: g. Interval(s) where f is concave down: h. Vertical Asymptotes: i. Horizontal Asymptote: j. Graph the function.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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Please solve H-J and show all work, thank you!!
4. Determine each of the following for the function given. Fill in each blank, and then graph the function. If no
answer, write “none".
x2 + 4
16x
16(4 + 3x2)
F(«) =
f(x) :
f'(x) =
f"(x) =
(4 – x²)2:
(4 – x2)3
4 - x2'
a. Critical value(s):
b. Local maximum(a) and/or minimum(a):
c. Interval(s) where f is increasing:
d. Interval(s) where f is decreasing:
e. Inflection point(s):
f. Interval(s) where f is concave up:
g. Interval(s) where f is concave down:
h. Vertical Asymptotes:
i. Horizontal Asymptote:
j. Graph the function.
Transcribed Image Text:4. Determine each of the following for the function given. Fill in each blank, and then graph the function. If no answer, write “none". x2 + 4 16x 16(4 + 3x2) F(«) = f(x) : f'(x) = f"(x) = (4 – x²)2: (4 – x2)3 4 - x2' a. Critical value(s): b. Local maximum(a) and/or minimum(a): c. Interval(s) where f is increasing: d. Interval(s) where f is decreasing: e. Inflection point(s): f. Interval(s) where f is concave up: g. Interval(s) where f is concave down: h. Vertical Asymptotes: i. Horizontal Asymptote: j. Graph the function.
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