Consider the function f(x) = 2x interval - 2, 2|. Find the average or mean slope of the function on this interval.

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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Consider the function f(x) = 2x
interval [-
6x on the
-
2, 2|. Find the average or mean
slope of the function on this interval.
By the Mean Value Theorem, we know there
exists at least one c in the open interval
(– 2, 2) such that f'(c) is equal to this mean
-
slope.
For this problem, there are two values of c that
work.
The smaller one is
and the larger one is
Transcribed Image Text:Consider the function f(x) = 2x interval [- 6x on the - 2, 2|. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (– 2, 2) such that f'(c) is equal to this mean - slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
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