Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will the instantaneous rate of change be the same at any x-value on the function? Explain why or why not.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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Given the function g(x)=xª −2x³ +1,
a. Estimate the instantaneous rate of change at x = 1.
b. Will the instantaneous rate of change be the same at any x-value on the
function? Explain why or why not.
Transcribed Image Text:Given the function g(x)=xª −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will the instantaneous rate of change be the same at any x-value on the function? Explain why or why not.
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