4. Suppose the function is defined by y = f (x) = x² – x a. Find the average rate of change of y with respect to x over the interval [1, 3]. b. Find the instantaneous rate of change of y with respect to x at the point x = -1.
4. Suppose the function is defined by y = f (x) = x² – x a. Find the average rate of change of y with respect to x over the interval [1, 3]. b. Find the instantaneous rate of change of y with respect to x at the point x = -1.
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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![es bonsb
4. Suppose the function is defined by y =
f(x) = x² –
a. Find the average rate of change of y with respect to x over the interval
[1, 3].
b. Find the instantaneous rate of change of y with respect to x at the point
X = -1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d0cebe2-a363-4e16-b181-779c62c472db%2Feb38b40d-95d3-4a76-b521-84b943b90029%2Fr3u81e7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:es bonsb
4. Suppose the function is defined by y =
f(x) = x² –
a. Find the average rate of change of y with respect to x over the interval
[1, 3].
b. Find the instantaneous rate of change of y with respect to x at the point
X = -1.
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