7'. Consider the graph of f ', the derivative off, that is given below. Use it to answer the following questions. (4 points each) _ 1' a.) Where does f (x) have a local maximum? 31 Explain how you know. b.) Where does for) have a local minimum? Explain how you Imow. 0.) Where is f concave up? Explain how you know. Answer in interval notation. d.) Which is larger, f(2) or f(1), or is there not enough information to tell? Please explain. 8. Use Newton's method with the specied initial approximation 2:1 to nd 3.2,, the fourth approximation to the root of the equation x3 4x2 + 5 = 0, x1 = 4. Show each approximation along the way. (8 points)