Question

4. y = f'(x) graphed below is a piece wise function consisting of two linear pieces and two semicircles as shown.

a. On what interval(s) is f decreasing? Justify. b. On what interval(s) is f concave upward? Justify. c. At what x-value(s) does f have a point of inflection. Justify. dAt what x-value(s) does f have a relative minimum? Justify. e. Find f"(-3) or explain why it does not exist. fFind f(-2) or explain why it does not exist. 1g. Find f*(-1) or explain why it does not exist. \text { h. Find } \lim _{x \rightarrow 3} \frac{3 x-9}{f^{\prime}(x)-1} \text {. }

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