Problems 4 through 7: Sketching a Graph by Hand Using Calculus The following problems will walk you through a step-by-step procedure for graphing the function f(x) = 4x1/3 x4"3 You mustjustify your answers with proper algebra and calculus. Try to skip as few steps as possible so that it is clear how you are arriving at each answer. Problem 4 Find the x- and y- intercepts. Problem 5 Determine the intervals on which f is increasing and decreasing. In addition, find the coordinates of any relative extrema and indicate whether each corresponds to a local minimum or local maximum. Problem 6 Determine the intervals on which 1' is concave up and concave down. In addition, find the coordinates of any inflection points. Problem 7 Using the information from problems 4 through 6, draw a sketch of the graph. Be sure to label each of the points that you found in the previous problems