Sketch (on your work paper) the graph of a single continuous function f(x ) that meets all the following conditions. Do not input anything in the answer box below. . f'(x) = 0 for x = - 4, a = 3 . f'(z) is undefined for x = 7 . f'(x) 7 . f' (a) > 0 for a 0 for - 2 > 7A graph of f(ac) = ac" + 3ac -40x - 90 shows that the equation a" + 3x - 40x - 90 = 0 will have a solution on the interval (6, 7). Use Newton's method, showing at least the first cycle of the process, with initial approximation co = 6.5 to approximate the solution of a + 3xc - 40x - 90 - 0. Stop when the solution is accurate to four decimal places, and report the solution accurate to four decimal places. Solution: * ~