Part a: If you are examining a function over an interval (a.b), for a and b finite, isit possible not tohave anabsolute maximum orabsolute minimum?Part b: For the following graph, determine (by visual inspection) where the local and absolutemaxima and minima occur. Assume the graph represents the entirety of its function.Part c: Find the critical points in the domains of the following function: y=4x3-3xPart d: Find the critical points in the domains of the following function: y=1x-1Part e: Find the local andorabsolute extrema for the functions over the specified domain.y=(x-x2)2 over -1,1