1. Warning: Don't use I'Hospital rule in this question or you may not get any point. Let 10x2 + 55x + 70 if x 50 f(x) = 2x2 + 17x + 35 x2 + 1 + cos(2x) ifx>0 whenever it's defined. (a) (2 points) What is dom (f)? (b) (9 points) Determine ALL the vertical asymptote of the graph of f, if any. (c) (4 points) Determine All horizontal/ oblique asymptote of the graph of f, if any. (d) (5 points) Determine whether f is differentiable at 0 by definition