Please write everything neat and mark where everything is, I need to box the answers and graph, thank you!

Let f be a twice differentiable function. The derivative of f is given by: f' (a) = xx -2)7 Find all critical numbers of f and determine if they yield a relative maximum, a relative minimum, or neither. List all intervals where f is increasing and decreasing. Find all x-coordinates of the inflection points of f. List all intervals where f is concave up and concave down. Sketch a possible graph of f. All work must be clearly shown. Any solution or graph without supporting work will receive 0 points