The graph of a function g is shown below.Use the graph of the function to find its average rate of change from x=0 to x= 3.Simplify your answer as much as possible.Tytab0Explanationesc!116-14+12-10-F1CheckQA2F2W20#3SE08$4R%5F5FTA6G&7© 2023 McGrawH► 11*8U

Answered: The graph of a function g is 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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Similar questions

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 __________.
An electric company charges 10 per month plus 20 for each kilowatt-hour kwh of electricity used. a. Find a function that gives the total cost C of x kwh of electricity. b. Find the total cost of using 775 kwh. c. Find a function that gives the mean cost kwh C, when using x kwh. d. Find the mean cost per kwh when 775 kwh are used. Round to the nearest hundredth. e. Find the mean cost per kwh when 3200 kwh are used. Round to the nearest hundredth.
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.
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.
Arboriculture The growth of a red oak tree is approximated by the function G=0.003t3+0.137t2+0.458t0.839,2t34 where G is the height of the tree (in feet) and t is its age (in years). (a) Use a graphing utility to graph the function. (b) Estimate the age of the tree when it is growing most rapidly. This point is called the point of diminishing returns because the increase in size will be less with each additional year. (c) Using calculus, the point of diminishing returns can be found by finding the vertex of the parabola y=0.009t2+0.274t+0.458. Find the vertex of this parabola. (d) Compare your results from parts (b) and (c).
The American Food Dollar The following table shows the percentage P=P(d) of the American food dollar that was spent on eating away from home at restaurants, for example as function of the date d. d=Year P=Precentspentawayfromhome 1969 25 1989 30 2009 34 a. Find P(1989) and explain what it means. b. What does P(1999) mean? Estimate its value. c. What is the average rate of change per year in percentage of the food dollar spent away from home for the period from 1989 to 2009? d. What does P(2004) mean? Estimate its value. Hint: Your calculation in part c should be useful. e. Predict the value of P(2014) and explain how you made your estimate.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.

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The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x=0 to x= 3. Simplify your answer as much as possible.