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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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4. Suppose the function is defined by y = f(x) = x² – x
%3D
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 xat the point
x = -1.
Transcribed Image Text:4. Suppose the function is defined by y = f(x) = x² – x %3D 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 xat the point x = -1.
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