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1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at x=3, where h=0.01. (b) Show graphically your solution to part (a), including the function and the secant line. (c) Calculate the instantaneous rate of change of the function at x=3, using limits.

1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at x=3, where h=0.01. (b) Show graphically your solution to part (a), including the function and the secant line. (c) Calculate the instantaneous rate of change of the function at x=3, using limits.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at x=3, where h=0.01. (b) Show graphically your solution to part (a), including the function and the secant line. (c) Calculate the instantaneous rate of change of the function at x=3, using limits.
Transcribed Image Text:1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at x=3, where h=0.01. (b) Show graphically your solution to part (a), including the function and the secant line. (c) Calculate the instantaneous rate of change of the function at x=3, using limits.
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