Question: (a) Graph the function f sxd x 2 2 sin x in the viewing rectangle f0, 8g by f22, 8g. (b) On which interval

(a) Graph the function f sxd − x 2 2 sin x in the viewing rectangle f0, 8g by f22, 8g.

(b) On which interval is the average rate of change larger:

f1, 2g or f2, 3g?

(c) At which value of x is the instantaneous rate of change larger: x − 2 or x − 5?

(d) Check your visual estimates in part

(c) by computing f 9sxd and comparing the numerical values of f 9s2d and f 9s5d.

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