Sketch the Graph of a Continuous Function F With F 0 0

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Sketch the graph of a function f for which f (0) = 0, f' (0) = 3, f'(1) = 0, and f' (2) = -1. (b)...

Sketch the graph of a function f for which f (0) = 0, f' (0) = 3, f'(1) = 0, and f' (2) = -1.

(b) The displacement (in meters) of a particle moving in a straight line is given by s = t2 – 8t + 18, where is measured in seconds.
(a). Find the average velocity over each time interval:

The displacement (in meters) of a particle moving in a -1

(b). Find the instantaneous velocity when t = 4.
(c). Draw the graph of as a function of and draw the secant lines whose slopes are the average velocities in part (a) and the tangent line whose slope is the instantaneous velocity in part (b).

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