answer this handwritten neat and clean solution only pls

Find the values of a and b such that /'(1 ) exists and then sketch the graph of f. Supplementary Exercises: 1. In items a through c, do the following: (i) Sketch the graph of the function; (ii) determine if f is continuous at $1; (iii) find f' (x1) and f4 (x] ) if they exist; (iv) determine if f is differentiable at 1]. a. f(x) = x+ 2 if x -4 b. f(x) = |x - 3 x1 = 3 12-4 if x