1 (32 pts] Let y = /(x) = x' - ar + 1. a) Find the y-intercept of the graph of f. How would find the z-intercepts? b) Find the end-point behavior of the graph of f, that is, find lim, . . f(x) and lim, .4 .. f(x). e) Compute f'(z) and f" (x). d) Find the critical points pf f (if any).TABLE: e) Find the intervals of increase and the intervals of decrease of function f- f) Find the local maximum and minimum values (if any) of function f. TABLE: g) Find the intervals of concavity for the graph of f. h) Find the inflection points (if any) for the graph of f. 2 (4 pts] Use the Second-Derivative Test to determine the local extrema of f(x) = ] - 3x + 1