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.

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