(a, f(a)) or a f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the interval a < x f(x)-f(c) f(b)-f(a) HIC b-a = (b, f(b)) ? 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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B
The graph of a function f with f (b) > f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the interval a < x < b except
x = 0. For how many values of c, for a < c < b, does lim
f(x)-f(c)
f(b)-f(a)
x-c
b-a
X-C
Zero
Two
Three
(a, f(a))
Four
=
(b, f(b))
?
V
Transcribed Image Text:B The graph of a function f with f (b) > f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the interval a < x < b except x = 0. For how many values of c, for a < c < b, does lim f(x)-f(c) f(b)-f(a) x-c b-a X-C Zero Two Three (a, f(a)) Four = (b, f(b)) ? V
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