Question: Consider the function below. (Give your answers correct to three decimal places. If you need to use -co or co, enter -INFINITY or INFINITY.)

Consider the function below. (Give your answers correct to three decimal places. If you need to use -co or co, enter -INFINITY or INFINITY.) h(x)=x52x3 + x (a) Find the intervals of increase. (Enter the intervals that contain smaller numbers first.) ]) U ( [ ) U ( [ Find the intervals of decrease. (Enter the interval that contains smaller numbers first.) ( (b) Find the local minimum values. h(x) = h(x) = (smaller x value) (larger x value) Find the local maximum values. h(x) = (smaller x value) h(x) = (larger x value) (c) Find the inflection points. ( ) (smallest x value) ( ) ) (largest x value) Find the intervals the function is concave up. (Enter the interval that contains smaller numbers first.) ( Find the intervals the function is concave down. (Enter the interval that contains smaller numbers first.) ) ]) U ([ )

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