Sketch a possible graph of a function with the following properties: x-intercepts: -1, 1 Critical points: (-1, 0), (0, –0.8), and (1, 0) f'(x) > 0 for x<-1 and 0 1 Hint: Make as
Sketch a possible graph of a function with the following properties: x-intercepts: -1, 1 Critical points: (-1, 0), (0, –0.8), and (1, 0) f'(x) > 0 for x<-1 and 0 1 Hint: Make as
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Sketch a possible graph of a function with the following properties:
x-intercepts: -1, 1
Critical points: (-1, 0), (0, –0.8), and (1, 0)
f'(x) > 0 for x<-1 and 0 <x < 1
f"(x)<0 for -1<x < 0 and x > 1
Hint: Make a simple sign chart (number line).
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