EXERCISE 1: Except if explanation is required, give a direct answer to the following questions. The answer points will come only from 1 to 26, even if more points can sometimes answer the question. D X2 xx 6 a/ Does the limit exist? If exists, give its value, if fails to exist say quickly why? (i) lim f(x) (ii) lim f(x) (iii) lim f(x) b/ At which points f is at least left-hand continuous? c/ At which points f is at least left-hand differentiable? 9c% ......... d/ Which points are critical points? Singular points? Stationary points? e/ At which points does f reach absolute maximum value and absolute minimum value? df/ At which points does have local maxima? g/ At which points does f have local minima? 2 EXERCISE 2: Let a function f, with the following characteristics. In last line of the table write all the information you know about the shape of the curve off then graph its shape. Df=|-3,2) U (2,9) -3 -1 0 2 3 5 7 9 f'(x) f" (x) + + f(x) + 0 0 0 + 0 - 0 0 0 + 0