1.) Consider the function f(x) = 2x² - 3x + 1. Find the average rate of change over the interval (accurate to 6 decimal places): a.) x € [0,16] b.) x € [10,16] c.) x € [15,16] d.) x € [15.5,16] e.) x € [15.9,16] f.) x € [15.99,16] g.) x € [15.999,16] h.) What value are our rate of changes approaching as the intervals get smaller?

Calculus: Early Transcendentals
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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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1.) Consider the function f(x) = 2x² – 3x + 1. Find the average rate of change over the interval
(accurate to 6 decimal places):
a.) x = [0,16]
b.) x € [10,16]
c.) x € [15,16]
d.) x € [15.5,16]
e.) x € [15.9,16]
f.) x € [15.99,16]
g.) x € [15.999,16]
h.) What value are our rate of changes approaching as the intervals get smaller?
Transcribed Image Text:1.) Consider the function f(x) = 2x² – 3x + 1. Find the average rate of change over the interval (accurate to 6 decimal places): a.) x = [0,16] b.) x € [10,16] c.) x € [15,16] d.) x € [15.5,16] e.) x € [15.9,16] f.) x € [15.99,16] g.) x € [15.999,16] h.) What value are our rate of changes approaching as the intervals get smaller?
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