Question #1 C1:“Graph a variety of functions, including piecewise functions, and evaluate limits graphically, numerically and analytically, including limits at infinity and infinite limits." Зcos(пх), х < -1 For the function f(x) = {-2|x], – 1 < x <1 Vx — 3, х 2 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.

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