Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

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) = 1 – 7x² on the interval [ – 4,3]. Find the average or mean slope of the
function on this interval, i.e.
f(3) = f(-4)
3-(-4)
By the Mean Value Theorem, we know there exists a c in the open interval (-4, 3) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.
Transcribed Image Text:Consider the function f(x) = 1 – 7x² on the interval [ – 4,3]. Find the average or mean slope of the function on this interval, i.e. f(3) = f(-4) 3-(-4) By the Mean Value Theorem, we know there exists a c in the open interval (-4, 3) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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