1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value within that interval at which f '(x) is equal to the average rate of change on the interval. Sketch a graph of the function; include what both the average rate of change and the instantaneous rate of change represent on the graph.
1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value within that interval at which f '(x) is equal to the average rate of change on the interval. Sketch a graph of the function; include what both the average rate of change and the instantaneous rate of change represent on the graph.
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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![1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value within that interval at
which f '(x) is equal to the average rate of change on the interval. Sketch a graph of the function; include what both
the average rate of change and the instantaneous rate of change represent on the graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a1d25c8-17e9-431a-b829-c22efe724690%2F656c203f-fed8-477c-aee7-6448aad0f06d%2Fx1h3t8e_processed.png&w=3840&q=75)
Transcribed Image Text:1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value within that interval at
which f '(x) is equal to the average rate of change on the interval. Sketch a graph of the function; include what both
the average rate of change and the instantaneous rate of change represent on the graph.
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