f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis of f(x) and complete the passage. Show all your work in the space provided below. "fx) has x-intercept(s) of and y-intercept of It has two types of asymptotes: one type is asymptote(s) at, and the other type is . asymptote(s) at f(x) decreases for and has (how many?) local extrema. The graph concaves up for _and concaves down for The point(s) of inflection is at. The domain of f(x) is. and the range is b) State the asymptotic and end behaviours. c) Use the information to sketch f(x).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a-b-c please, all in one question

f'(x) = x²+9)
(x2-9)2
2x(x²+27)
4. Given
f(x) =
x2-9
f"(x) =
(х2-9)3
a) Provide a complete analysis of f(x) and complete the passage. Show all your work in the space
provided below.
"f(x) has x-intercept(s) of
and y-intercept of
It has two types of
asymptotes: one type is
asymptote(s) at
and the
other type is
asymptote(s) at
f(x) decreases for
and has (how many?)
local
extrema. The graph concaves up for
and concaves down for
The point(s) of inflection is at.
The domain
of f(x) is
and the range is
b) State the asymptotic and end behaviours.
c) Use the information to sketch f(x).
Transcribed Image Text:f'(x) = x²+9) (x2-9)2 2x(x²+27) 4. Given f(x) = x2-9 f"(x) = (х2-9)3 a) Provide a complete analysis of f(x) and complete the passage. Show all your work in the space provided below. "f(x) has x-intercept(s) of and y-intercept of It has two types of asymptotes: one type is asymptote(s) at and the other type is asymptote(s) at f(x) decreases for and has (how many?) local extrema. The graph concaves up for and concaves down for The point(s) of inflection is at. The domain of f(x) is and the range is b) State the asymptotic and end behaviours. c) Use the information to sketch f(x).
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