Consider g(t) = 2t(7 - t) ^1/3Determine the intervals on which g is concave down.g is concave down on:g is concave down nowhere.Determine the intervals on which g is concave up.g is concave up on:g is concave up nowhere.Determine the value and location of any inflection point of g. Enter the solution in (t, g(t)) form. If multiple solutions exist, use a comma-separated list to enter the solutions.g has an inflection point at:g has no inflection point.