Action Recall the precise definition ofa limit: Given 8 > 0, lf(x) _ LI 0 such that x/Zxl 3' 2 equals 4.5, find a delta > 0 that corresponds to an epsilon of 0.5. 3. Consider the piecewise function f(x)=2x + 1 for x s -1, 3:: for -1 N. 2x 1 5. Dene a piecewise function using at least 3 pieces/cu rves that satisfy all of the following conditions: a) None of the curves are constant functions, and at least one is a quadratic function. b} There is a jump discontinuity at x = -2 such that the limit of at) as x approaches -2 does not exist. c) The function is continuous on (-infinity, -2) , [-2, 5), and (5, infinity). Tips and Suggestions 1) To specify a particular domain for a plot use the following as the input: Plot (2x 1) for x = -10 to 10 2) To plot two or more graphs together simply use the word \"and". Input into Alpha looks like: plot (1/(2-3x)} and e"(4x)