A student draws the graph of a function, f (x), as shown. 10 8. 4. -10 -20 -2 -4 4. 8. 10 -4 -8 -10 What is the average rate of change of the function over the interval [1, 4]? 1 1.5 3.5 2. 6. 8.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 42SE: Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval...
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A student draws the graph of a function, f (x), as shown.
10
8.
4
2.
-10-8
-2 0
-2
-9-
-4.
4.
8.
10
-4
-8
-10
What is the average rate of change of the function over the interval [1, 4]?
1
O 1.5
O 3.5
6.
2.
6.
6.
Transcribed Image Text:A student draws the graph of a function, f (x), as shown. 10 8. 4 2. -10-8 -2 0 -2 -9- -4. 4. 8. 10 -4 -8 -10 What is the average rate of change of the function over the interval [1, 4]? 1 O 1.5 O 3.5 6. 2. 6. 6.
Expert Solution
Step 1

Formula used:

The average rate of change of the function fx over the interval a,b is

Ax=fb-fab-a

Here, Ax is average rate of change of the function, fa and fb are the value of the function at a and b respectively.

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