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f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h, f(a+h)). You may wish to sketch this in your notebook. c. Write a simplified expression for the length of the horizontal leg. Horizontal leg length = d. Write a simplified expression for the length of the vertical leg. Vertical leg length= e. What is the slope of the line that connects (a, f(a)) and (a + h, f(a+h))? Slope = f. How is the average rate of change of the function on a given interval connected to the the slope of a related line? O The average rate of change is the instantaneous velocity. O The average rate of change and the slope are the same. O The average rate of change is the limit of the slope. O The average rate of change has nothing to do with the slope.

f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h, f(a+h)). You may wish to sketch this in your notebook. c. Write a simplified expression for the length of the horizontal leg. Horizontal leg length = d. Write a simplified expression for the length of the vertical leg. Vertical leg length= e. What is the slope of the line that connects (a, f(a)) and (a + h, f(a+h))? Slope = f. How is the average rate of change of the function on a given interval connected to the the slope of a related line? O The average rate of change is the instantaneous velocity. O The average rate of change and the slope are the same. O The average rate of change is the limit of the slope. O The average rate of change has nothing to do with the slope.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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McGraw-Hill Connect C X a myopenmath.com/assess2/?cid=175669&aid=12457267#/skip/1 Suppose that f is the function given by the graph below and that a and a + h are the input values as labeled on the x-axis. Use the graph to answer the following questions. ФК a+h Question 8 - Chapter 6 Homewor X f M MyOpenMath X X
Transcribed Image Text:McGraw-Hill Connect C X a myopenmath.com/assess2/?cid=175669&aid=12457267#/skip/1 Suppose that f is the function given by the graph below and that a and a + h are the input values as labeled on the x-axis. Use the graph to answer the following questions. ФК a+h Question 8 - Chapter 6 Homewor X f M MyOpenMath X X
K: (a+h f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h, f(a+h)). You may wish to sketch this in your notebook. c. Write a simplified expression for the length of the horizontal leg. Horizontal leg length = d. Write a simplified expression for the length of the vertical leg. Vertical leg length = e. What is the slope of the line that connects (a, f(a)) and (a + h, f(a+h))? Slope = f. How is the average rate of change of the function on a given interval connected to the the slope of a related line? O The average rate of change is the instantaneous velocity. O The average rate of change and the slope are the same. O The average rate of change is the limit of the slope. O The average rate of change has nothing to do with the slope. Submit Question 31
Transcribed Image Text:K: (a+h f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h, f(a+h)). You may wish to sketch this in your notebook. c. Write a simplified expression for the length of the horizontal leg. Horizontal leg length = d. Write a simplified expression for the length of the vertical leg. Vertical leg length = e. What is the slope of the line that connects (a, f(a)) and (a + h, f(a+h))? Slope = f. How is the average rate of change of the function on a given interval connected to the the slope of a related line? O The average rate of change is the instantaneous velocity. O The average rate of change and the slope are the same. O The average rate of change is the limit of the slope. O The average rate of change has nothing to do with the slope. Submit Question 31
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