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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Question
Sketch the graph of a continuous function satisfying the given conditions.
![i.
f(0) = 0, f"(x) < 0 for x > 0, f"(x) > 0 for x < 0, lim f(x) = 1, lim f(x) =
X+00
X→ー0
-1.
ii.
f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +o, lim f'(x) = -00
X-0-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff37f5509-02a5-4162-bac3-bb47858168cc%2F0cc8d2f1-b6a9-4766-b9c6-17d82cb9a188%2F0gbejbg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:i.
f(0) = 0, f"(x) < 0 for x > 0, f"(x) > 0 for x < 0, lim f(x) = 1, lim f(x) =
X+00
X→ー0
-1.
ii.
f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +o, lim f'(x) = -00
X-0-
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