Consider h(x) = 16 (x - 64)^2/3Determine the intervals on which h is concave down.h is concave down on:h is concave down nowhere.Determine the intervals

Consider h(x) = 16 (x² - 64)^2/3Determine the intervals on which h is concave down.h is concave down on:h is concave down nowhere.Determine the intervals on which h is concave up.h is concave up on:h is concave up nowhere.Determine the value and location of any inflection point of h. Enter the solution in (x, h(x)) form. If multiple solutions exist, use a comma-separated list to enter the solutions.h has an inflection point at:h has no inflection point.