Math 1271 - Worksheet 7 9/24/2024 1.7 - Continuity 1. Consider a function that is piecewise-defined according to the formula 3x + 8 for -3 1 (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (If the output of f is not defined for a particular choice of a, then write "undefined" or "DNE"). 4-X x 71 4 - 1 - 2 = 6 4- 1=3 4. -+ 1 =5 4 - 2 : 2 4 - 0 = 4 (b) For each of the values a = -2, -1, 0, 1, 2, determine lim f(x) and lim f(x). I-+ at X -2 lim X - 2+ (c) For each of the values a = -2, -1, 0, 1, 2, determine lim f(x). (If the limit does not I -+ a exist, write "DNE".) (d) For which values of a is the following statement true? lim f(x) # f(a) r +a(e) Sketch an accurate, labeled graph of f(x). Be sure to carefully use open circles and filled circles to represent key points on the graph. (f) At which values of a is f continuous? N