Since the simplified numerator, > 0 for all x, we have f"(x) > o x² - 1 > 0 Ix| > and f"(x) < o > |x| < Thus the curve is concave upward on the intervals (-, -1) and and concave downward on It has no point of inflection since 1 and are not in the domain of f.

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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G. f (め:-41ペーパ+4x:2(ペー1)2x
(メメーリ
413x²+1)
(X+パ(メーリ
Transcribed Image Text:G. f (め:-41ペーパ+4x:2(ペー1)2x (メメーリ 413x²+1) (X+パ(メーリ
Since the simplified numerator,
> 0 for all x, we have
(x) > 0 x -1 > 0
A |x| >
and f"(x) < 0 Ix| <
Thus the curve is concave upward on the intervals (-~-1) and
and concave downward on
It has no point of inflection since 1 and
are not in the domain of f.
Transcribed Image Text:Since the simplified numerator, > 0 for all x, we have (x) > 0 x -1 > 0 A |x| > and f"(x) < 0 Ix| < Thus the curve is concave upward on the intervals (-~-1) and and concave downward on It has no point of inflection since 1 and are not in the domain of f.
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