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5-16.

Without your graphing calculator, sketch and algebraically determine where the function is increasing, decreasing, concave up, and concave down. List any maxima, minima, and points of inflection. Homework Help ✎

A function is increasing where its first derivative and decreasing where its first derivative is .
Find these intervals algebraically.

A function is concave up when its second derivative is and concave down when its second derivative is .
Find these intervals algebraically.

Notice that is a boundary point. Even though and , interesting changes in slope and concavity can still happen at .