1. Consider the function f given by f(x) = 2x² - 3x + 6. *Make a table to show the following. a. Determine the average rate of change on the interval [2,3]. b. Determine the average rate of change on the interval [2, 2.1]. c. Determine the average rate of change on the interval [2, 2.01]. d. Determine the average rate of change on the interval [2, 2.001]. e. Use your results to make a guess about the instantaneous rate of change at x = 2.

Calculus: Early Transcendentals
8th Edition
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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Make sure to show all work/steps.
Turn in best quality (not rough draft copy). That may require you to rewrite your work after
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Any time a question asks you to graph a function in Desmos you should include that graph in
your solutions.
1. Consider the function f given by
Written Problems for Sections 2.1
*Make a table to show the following.
a. Determine the average rate of change on the interval [2,3].
b. Determine the average rate of change on the interval [2, 2.1].
c. Determine the average rate of change on the interval [2, 2.01].
d. Determine the average rate of change on the interval [2, 2.001].
e. Use your results to make a guess about the instantaneous rate of change at x = 2.
Type here to search
A
f(x) = 2x² 3x + 6.
2. Graphing using your results to question 1:
t
Write the equation for the secant line over the interval [2 31
Å
22°F Mostly cloudy
5:00 P
1/15/202
Transcribed Image Text:● ● Make sure to show all work/steps. Turn in best quality (not rough draft copy). That may require you to rewrite your work after your first attempt. Any time a question asks you to graph a function in Desmos you should include that graph in your solutions. 1. Consider the function f given by Written Problems for Sections 2.1 *Make a table to show the following. a. Determine the average rate of change on the interval [2,3]. b. Determine the average rate of change on the interval [2, 2.1]. c. Determine the average rate of change on the interval [2, 2.01]. d. Determine the average rate of change on the interval [2, 2.001]. e. Use your results to make a guess about the instantaneous rate of change at x = 2. Type here to search A f(x) = 2x² 3x + 6. 2. Graphing using your results to question 1: t Write the equation for the secant line over the interval [2 31 Å 22°F Mostly cloudy 5:00 P 1/15/202
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