5) If the graph of f is concave upward on (a,b), then the graph of -f is concave downward on (a,b) 6) If the second derivative of f exists on (a,b) and the graph of f has an inflection point at (c, f(c)) where a
5) If the graph of f is concave upward on (a,b), then the graph of -f is concave downward on (a,b) 6) If the second derivative of f exists on (a,b) and the graph of f has an inflection point at (c, f(c)) where a
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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Answer with true or false for each question please!

Transcribed Image Text:5) If the graph of f is concave upward on (a,b), then the graph of -f is concave downward
on (a,b)
6)
If the second derivative of f exists on (a,b) and the graph of f has an inflection point at
(c, f(c)) where a<c<b, then ƒ"(c) = 0
7)
If c is a critical number of f where a <c<band f"(c) <0 on (a,b), then f has a relative
minimum at x = c
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