Shape of a Graph Consider the function f(x) = 3x4 - 16x3 + 24x2 + 6. (a) Find all of the critical points of f(x). Then, determine the intervals where the function is increasing and decreasing and use these to show whether each critical point is a local minimum, a local maximum, or neither. Using the same function f(x) from the previous page, determine the intervals where the function is concave up and concave down and use these to find all of the inflection points of the graph. This is a bonus question. Draw a basic sketch of the graph using the information found in parts (a) and (b)