Use the graph of f to evaluate the following: 6 5 4 3 2 1 -1 f(x) X 1 2 3 4 5 6 The average rate of change of f from x = 0 to x = 5 is

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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Use the graph of f to evaluate the following:
-1
5
+
3
2
1
f(x)
1 2 3 4 5
X
6
The average rate of change of f from x =
= 0 to x = 5 is
Transcribed Image Text:Use the graph of f to evaluate the following: -1 5 + 3 2 1 f(x) 1 2 3 4 5 X 6 The average rate of change of f from x = = 0 to x = 5 is
Expert Solution
Step 1: Define the expression for the average rate of change:

The average rate of change between the intervals x subscript 1 less or equal than x less or equal than x subscript 2 is given by:

Average space rate space of space change space equals space fraction numerator f open parentheses x subscript 2 close parentheses minus f open parentheses x subscript 1 close parentheses over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator increment y over denominator increment x end fraction

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