One question needing to be anwsered help The graph of a function fis shown below.Use the graph of the function to find its average rate of change from x= -1 to x= 3.Simplify your answer as much as possible.6+-8-6-4-210-6-8-?4-

We have to find average rate of change

Answered: The graph of a function fis shown…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 19T

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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 __________.
Three Was TieA downhill skiing race ends in a three-way tie for first place. The graph shows distance as a function of time for each of the three winners, A, B, and C. Find the average speed for each skier Describe the differences between the ways in which the three participants skied the race.
Swimming Laps Miyuki practices swimming laps with her team. The function y=f(t) graphed below gives her distance in meters from the starting edge of the pool t seconds after she starts her laps. Describe in words Miyukis swim practice. What is her average speed for the first 30 s? Graph the function y=1.2f(t). How is the graph of the new function related to the graph of the original function? What is Miyukis new average speed for the first 30 s?
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
Composing linear functions the graphs of the functions f(x)=m1x+b1 f(x)=m2x+b2 are line with cloths m1 and m2 ,respectively is the graph of fg a line ? if so ,what is its slope?
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Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. The variable x represents the number of years since 1950. (a) What was the average rate of change of P between x=20 and x=40 ? (b) Interpret the value of the average rate of change that you found in part (a).
Research and Development The amounts (in billions of dollars) the U.S. federal government spent on research and development for defense from 2010 through 2014 can be approximated by the model y=0.5079t28.168t+95.08 where t represents the year, with t=0 corresponding to 2010. (a) Use a graphing utility to graph the model. (b) Find the average rate of change of the model from 2010 to 2014. Interpret your answer in the context of the problem.
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The graph of a function fis shown below. Use the graph of the function to find its average rate of change from x= -1 to x= 3. Simplify your answer as much as possible. 6+ -8 -6 -4 -2 10 -6 -8- ? 4-