Graph a variety of functions, including piecewise functions, and evaluate limits graphically, numerically and analytically, including limits at infinity and infinite limits." 3cos(fix), x S-1 For the function f(x) = {-2x), – 1 1 = a) Sketch the graph of the function. b) Evaluate limx--1f(x) numerically. Confirm the value of this limit graphically, i.e. just look at your graph and see if the graph supports your limit answer. c) Evaluate limx-1f(x) algebraically. Confirm the value of this limit graphically. In parts b&c, be sure to make a clear conclusion about the value of each limit. Note: part b is approaching -1 and part c is approaching 1.