Consider the function f(x) = 1 on the interval [3, 12]. CA) Find the average or mean slope of the function on this interval. Average Slope = (B) By the Mean Value Theorem, we know there exists a c in the open inte f'(c) is equal to this mean slope. Find all values of c that work and list the commas) in the box below. List of values:

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) =
on the interval [3, 12].
(A) Find the average or mean slope of the function on this interval.
Average Slope
(B) By the Mean Value Theorem, we know there exists a c in the open interval (3, 12) such that
f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by
commas) in the box below.
List of values:
Transcribed Image Text:Consider the function f(x) = on the interval [3, 12]. (A) Find the average or mean slope of the function on this interval. Average Slope (B) By the Mean Value Theorem, we know there exists a c in the open interval (3, 12) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values:
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