APPM 1350 Midterm: appm1350fall2014exam1
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Instructions: books, notes, and electronic devices are not permitted. Write (1) your name, (2) 1350/test 1, (3) lecture number/instructor name and (4) fall 2014 on the front of your bluebook. Also make a grading table with room for 4 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: for this problem, suppose f (x) = x 6 and g(x) = |2x 1|. (a) (6 pts) write down the domain and range of (f g)(x). Show all work. (b) (6 pts) evaluate the limit: lim x 0. 5 g(x) 1 2x (c) (6 pts) suppose we let h(x) =(f (x), if x > 6 g(x), if x 6. 2x2 + 4x 6 x2 9. 2x2 + 4x 6 (c)(6 pts) find all horizontal asymptotes of f (x) = x2 9.