Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 |x| over the interval [ 12, 12]. In other words, find c € [-12, 12] such that f(c) C1 This function has two values, c₁ and c₂, where c₁ < C₂. || = C2 = 12 1 12- (- 12) f(a)dz. 1 1/2 12

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...
Question
Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 − |x| over the
interval [ 12, 12].
In other words, find c € [ – 12, 12] such that f(c)
C1 =
=
This function has two values, c₁ and c₂, where C₁ < C₂.
C₂ =
1
12
f(x)dx.
12 (12) f
Transcribed Image Text:Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 − |x| over the interval [ 12, 12]. In other words, find c € [ – 12, 12] such that f(c) C1 = = This function has two values, c₁ and c₂, where C₁ < C₂. C₂ = 1 12 f(x)dx. 12 (12) f
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