The graph of a function f is shown. y 800 0 20 40 60 x (a) Find the average rate of change of f on the interval [20, 60]

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The Graph Of A Function F Is Shown Y 800 0 20 40 60 X A Find The Average Rate Of Change Of F On The Interval 20 60 1 (34.29 KiB) Viewed 57 times

The graph of a function f is shown. y 800 0 20 40 60 x (a) Find the average rate of change of f on the interval [20, 60]. (Round your answer to the nearest integer.) (b) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 50] O [40, 80] (c) Compute 400 F(40) - F(0) 40 - 0 What does this value represent geometrically? the slope of the tangent line at (0, f(0)) the slope of the tangent line at (40, f(40)) O the slope of the tangent line at (20, F(20)) the slope of the line segment from (0, f(0)) to (40, f(40)) (d) Estimate the value of f' (50). O f¹ (50) < 30 O f¹ (50) = 30 O f' (50) > 30 (e) Which x-value gives a larger instantaneous rate of change, 10 or 30? 10 O 30 (f) Is f' (60) > O No O Yes O [10, 40] [10, 50] O [20, 40] O [0, 80] F(80) - F(40) > 80 40 (g) Identify an interval on which the average rate of change of f is 0. O [0, 60] (h) Identify the x-value(s) at which the instantaneous rate of change of f is O. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)