sketch the graph of a function f having given characteristics

f(2) = f(4) = 0

f(3) is defined.

f'(x) < 0 if x < 3

f'(3) does not exist.

f'(x) > 0 if x > 3

f"(x) < 0, x does not equal 3

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- November 12th 2012, 06:33 PMasilvester635Calculus curve sketching
sketch the graph of a function f having given characteristics

f(2) = f(4) = 0

f(3) is defined.

f'(x) < 0 if x < 3

f'(3) does not exist.

f'(x) > 0 if x > 3

f"(x) < 0, x does not equal 3