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Sketch the graph of a function f(x) that satisfies all the given conditions. Clearly label any...

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Advance Math

Sketch the graph of a function f(x) that satisfies all the givenconditions. Clearly label any asymptotes, extreme values and pointsof inflection.

f(x) is only discontinuous at x = −4.

f(x) has a global minimum but no global maximum.

f'(x) > 0 only on the intervals (−∞, −4) and (1, 3).

f(x) only changes concavity at x = −1 and x = 4.

limx→∞ f(x) = 4.

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