2. Assume known that any elementary function is continuous at any point inside their domain. In other words, if an elementary function f is defined at and around point x = p, then lim f(x) = f(p) = lim f(x). x-P ac- pt Consider a piecewise function g defined by /02 + ocx + 2, a1. 2 20 - 2x + 1 Following the guidelines of example 3.1 on page 13 in Jeffrey's book, find the limits a) lim g(x); b) lim g(x). c) lim g(x). x- -4+ x-+0- d) Determine the value of the constants a that make function g continuous at the points x = -4. e) Determine the values of the constants S and y that make function g continuous at the points x = 0 and x = 1. f) Find the asymptotes of the function g at x - too and at x -+ -co (provided that the asymptotes do exists, of course)