1. Please answer the following question

Consider the function h(x) = 2x3 + 31::2 + 12x 7 . 3. Find the intervals on which h is increasing or decreasing. Use interval notation and write answers in the space provided. (3 points} Decreasing on Increasing on b. Find any points of inection and the intervals for which h is concave up or concave down. Use ordered pairs to represent points of inection. Use interval notation and write answers in the space provided. [3 points} Concave down on Concave up on Point(s) of inection: c. Find the ordered pairs of all local maxima and minima using the Second Derivative Test. Write one or two sentences explaining the Second Derivative Test or how you used it. [a points) Local Maximum: Local Minimum