(a) Sketch a graph of a function f such that: f'>0 and f" < 0, for x < 3 f' > 0 and f" > 0, for x > 3. (b) Does the graph of the function f in Part (a) have an inflection point? Explain.

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(a) Sketch a graph of a function f such that:
f' >0 and f" < 0, for x < 3
f' > 0 and f"> 0, for x > 3.
(b) Does the graph of the function f in Part (a)
have an inflection point? Explain.
Transcribed Image Text:(a) Sketch a graph of a function f such that: f' >0 and f" < 0, for x < 3 f' > 0 and f"> 0, for x > 3. (b) Does the graph of the function f in Part (a) have an inflection point? Explain.
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