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5-25.

Use the graphs of and below to determine the x-values of all local minima, maxima, and points of inflection. Homework Help ✎

a.          

will be increasing where is positive, and vice versa.
will be concave up where has positive slopes, and vice versa.

Local max at x = −1; changes from positive to negative.
Inflection points at x = −0.5, 0, 0.5; changes slope.
Local min at x = 1; f '(x) changes from negative to positive.

b.        

See the hint in part (a).