APPM 1350 Final: appm1350summer2015examfinal1

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31 Jan 2019
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Instructions: books, notes, and electronic devices are not permitted. Write (1) your name, (2) 1350/final exam, (3) lecture number/instructor name and (4) summer 2015 on the front of your bluebook. Also make a grad- ing table with room for 5 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Justify all your answers: (10 pts) sketch a graph of a function y = g(x) that satis es all of the following conditions. No explanation is necessary. (a) lim x g(x) = 3 (c) lim x 4+ g(x) = (e) g is an odd function. (b) g( 2) = g(2) = 0 (d) lim h 0 g(0 + h) g(0) h. In other words, what conditions must a function obey in order to be considered continuous at some point a. (b) find the numbers at which the function below is discontinuous.

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