The graph of a function f is shown. y A m /\\ 400 \\ 0 > I 0 20 40 60 @ (a) Find the average rate of change of fon the interval [10, 60]. (b) Identify an interval on which the average rate of change of f is 0. - [10, 40] , [20, 40] - [0, 60] , [10, so] - [0, 80] (c) Compute the following. K40) - H0) 40 0 What does this value represent geometrically? , the slope of the tangent line at (0, R0 , the slope of the tangent line at (40, R40 - the slope of the line segment from (0, R0 to (40, R40 , the slope of the tangent line at (20, R20 (d) Estimate the value of f'(50). (e) 15 full) > f'(30)? , Yes 'No R80) - f(40) ? (f) 15 men) > so _ 40 , Yes 'No Explain. - The slope of the tangent line at X = 60, f'(60), is less than the slope of the line passing through (40, R40 and (80, R80. , The slope of the tangent line at x = 80, F'(80), is greater than the slope of the line passing through (40, R40)) and (60, R50. - The slope of the tangent line at X = 40, f'(40), is less than the slope of the line passing through (60, R60 and (80, f(80)). , The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, R40 and (80, R00. , The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, R40 and (60, R60