Given the following function, f(x}=2x39x2+6x+5 answer the following questions. Give exact answers or decimal approximations to the nearest hundredth, as in 1.23 or 12.34. For maximum credit, make appropriate use of differential calculus and show all your work. ' On what intervals is f increasing, and on what intervals is f decreasing? ' Identify all critical points off (both coordinates), and classify each as a local maximum, a local minimum, or neither. ' On what intervals is f concave up, and on what intervals is f concave down? ' Identify all hypercritical points of f (both coordinates), and say whether each is an inflection point or not. ' Draw the graph of f on the given grid using this information. Be sure to label the axes