Average Rate of Change The graphs of the functions f andg are shown. The function – (f or g) has a greater aver-age rate of change between x = 0 and x = 1. The function– (f or g) has a greater average rate of change betweenx = 1 and x = 2. The functions f and g have the sameaverage rate of change between x = and x =1

we have to tell where the average rate of change of the function is greater in the given interval.

Answered: Average Rate of Change The graphs of…

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

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Let f be a function with constant rate of change. Then a f is a ________ function and f is of the form fx = ______x ________. b The graph of f is a __________.
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
Let f be a function with constant rate of change. Then (a)f is a___________ function and f is the form f(x)=x+ . (b)The graph of f is a ________.
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
High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
Price of Amazons Kindle The following table shows the price of Amazons Kindle 2 e-book reader. It is adapted from data available on the web. Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 349 5 299 10 249 15 199 a. By calculating differences, show that these data can be modeled using a linear function. b. Find a linear formula that models these data. Be careful about the sign of the slope. c. What price does your formula from part b project for January 2012 35 months after the Kindle was launched? Note: The web data were the basis for speculation that some day the Kindle would be free.

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