Math 150

(f) Is f (60) > (80) - f(40), 80 - 40 Yes O No Explain. O The slope of the tangent line at x = 60, f'(60), is greater than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 80, f'(80), is greater than the slope of the line passing through (40, f(40)) and (60, f(60)). The slope of the tangent line at x = 60, f'(60), is less than the slope of the line passing through (40, f(40)) and (80, f(80)). The slope of the tangent line at x = 80, f'(80), is less than the slope of the line passing through (40, f(40)) and (60, f(60)). O The slope of the tangent line at x = 40, f'(40), is less than the slope of the line passing through (60, f(60)) and (80, f(80)). XThe graph of a function f is shown. 800 400 0 20 40 60 (a) Find the average rate of change of f on the interval [50, 60]. 25 (b) Identify an interval on which the average rate of change of f is 0. O [0, 80] O [20, 40] O [10, 40] [10, 50] O [0, 60](c) Compute the following. f(40) - f(0) 40 - 0 X What does this value represent geometrically? the slope of the line segment from (0, f(0)) to (40, f(40)) the slope of the tangent line at (0, f(0)) the slope of the tangent line at (40, f(40)) the slope of the tangent line at (20, f(20)) (d) Estimate the value of f' (50). (e) Is f'(10) > f' (30)? O Yes O No