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The graph of a function is given. Determine the average rate of change of the function between the indicated points on the graph. (Assume that the points lie on the grid lines.) y 8 4 6. 8.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

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Exponential Growth Model

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Question

The graph of a function is given. Determine the average rate of change of the function between the indicated points on the graph. (Assume that the
points lie on the grid lines.)
y
4
X
-2
4
6.
8

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
Can the average rate of change of a function be constant?