0 5 10 Move the center point to x = 15. Keep it there throughout this problem. a. Set the degree to something big. 15 On the right side of the center point, do you see any problems with the approximations in the visible graph? Yes No Discussion Question: Describe the behavior on the left side of the center point when you move the degree slider. b. Is there a problem lurking somewhere to the right, off the visible graph? By problem, we mean a location where the Taylor polynomials fail to be good approximations. Yes No c. Suppose you could extend the slider as high as you wanted (unlimited degree). Could you get the problem to go away.? Yes No d. Suppose you had unlimited degrees available. What is the largest possible interval on which you could expect good approximations? Write your answer below by entering the left and right endpoints of the interval.