2. Let f(x) = x² + 2x. (a) Find the average rate of change on the interval [1, 2]. (b) Find the average rate of change on the interval [1, 1.1]. (c) Find the average rate of change on the interval [1, 1.01]

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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2. Let f(x) = x² + 2x.
(a) Find the average rate of change on the interval [1, 2].
(b) Find the average rate of change on the interval [1, 1.1].
(c) Find the average rate of change on the interval [1, 1.01]
(d) Find the average rate of change on the interval [1, 1.001]
(e) Use the information above to estimate the instantaneous rate of change at x = 1.
Transcribed Image Text:2. Let f(x) = x² + 2x. (a) Find the average rate of change on the interval [1, 2]. (b) Find the average rate of change on the interval [1, 1.1]. (c) Find the average rate of change on the interval [1, 1.01] (d) Find the average rate of change on the interval [1, 1.001] (e) Use the information above to estimate the instantaneous rate of change at x = 1.
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