5. For the function: x + 3 (x² - 4) f(x) = f'(x) = -x² - 6x-4 (x² - 4)² f"(x)= 2(x³ + 9x² + 12x +12) (x² - 4)³

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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Just do Part E (Local Extrama)

5. For the function:
x + 3
(x² - 4)
f(x):
=
a) Find the domain.
c) Find all intercepts.
d) Find critical point(s).
f'(x)
e) Find any local extrema.
²- 6x-4
(x² - 4)²
b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the
discontinuity.
f"(x)
2(x³ +9x² + 12x + 12)
(x²-4)³
Transcribed Image Text:5. For the function: x + 3 (x² - 4) f(x): = a) Find the domain. c) Find all intercepts. d) Find critical point(s). f'(x) e) Find any local extrema. ²- 6x-4 (x² - 4)² b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the discontinuity. f"(x) 2(x³ +9x² + 12x + 12) (x²-4)³
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