Question: A function f(x) has critical points at x = - 5,3,8. The table below shoes the sign of the derivative fi(x) on each open interval

 A function f(x) has critical points at x = - 5,3,8.

A function f(x) has critical points at x = - 5,3,8. The table below shoes the sign of the derivative fi(x) on each open interval between the critical points. Interval (-00, - 5) (-5,3) (3,8) (8,00) Sign of the derivative f '(x) + Which of the following best describes the function f (x)? (x) has local maximum values at y = - 5 and g, and a local minimum value at x = 3. f () has local maximum value at X = 3, and local minimum values at x = - 5,8. Of (x) has no local extreme values, f (x) has a local maximum value at X = = 3 and a local minimum value at x = 3. f (x) has a local maximum value at X = 3 and a local minimum value at X = - 5

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