8. Provide straightforward, and fully justified, answers to the following questions. In each of them, assume that y = f(x) is a continuous function defined for all x, and f'(x) and f"(x) exist and are continuous for all r. (a) The only solution to f'(x) = 0 is z = 5. Moreover, f'(1) = -2, f'(10) = 1, and f(5) = 1. Can y = f(x) have an r-intercept? */ is a negative pir x c 5 and posture for x>5 , thus I has its global mimmung at x=5, fo f ( x ) 2 4 for all x and fix) is never o . No, 8 Pic L S (b) f"(x) 2 1 for all z, f'(1) = -2, and f'(2) = 3. How many local maxima and how many local minima can this function have? I ( x ) *= 0 - can- have at most .me