A linear function is given.g(x) = -9x + 5(a) Find the average rate of change of the function between x = a and x = a + h.(b) Find the slope of the line.

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Answered: A linear function is given. g(x) = -9x…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 5E

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Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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

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A linear function is given. g(x) = -9x + 5 (a) Find the average rate of change of the function between x = a and x = a + h. (b) Find the slope of the line.