Tutorial ExerciseSuppose that f is a linear function such that f(4) = 2 and f(5) = 5. What is the slope m of f?Step 1We get the slope m using the formula:Change in functionChange in variableThe change in variable from 4 to 5 isM =X. The change in function from f(4) to f(5) is

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Answered: Tutorial Exercise Suppose that f is a…

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

Section10.4: Inverse Of A Function

Problem 61E

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Find the value ofx if a linear function goes throughthe following points and has the following slope: (x,2),(4,6),m=3
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.
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
The number of people afflicted with the common cold in the winter months dropped steadily by 50 each yearsince 2004 until 2010. In 2004, 875 people were inflicted. Find the linear function that models the number of people afflicted with the common cold C as a function of theyear, t. When will no one be afflicted?
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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Tutorial Exercise Suppose that f is a linear function such that f(4) = 2 and f(5) = 5. What is the slope m of f? Step 1 We get the slope m using the formula: Change in function Change in variable The change in variable from 4 to 5 is m = X The change in function from f(4) to f(5) is x