APPM 1340 Midterm: archive_appm1340fall2018exam1_sol
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Instructions: outside paper and electronic devices are not permitted. Unless indicated, answers with no supporting work may receive no credit. Box your nal answers: (16 points) consider the functions: g(x) = 2 2x and h(x) = x2 5x + 4 (a) find the domain of f (x) = 2 + g(x) h(x) Answer in interval notation. (b) factor and reduce (g/h)(x) (c) name the vertex of h(x) Solution: ans: (a) f (x) = 2 + 2(1 x) (x 4)(x 1) = ( , 1) (1, 4) (4, ) (b) 2(x 1) (x 1)(x 4) 4 : (12 points) the following questions are not necessarily related: (a) consider the function f (x) = x + 2. Find the equation of the line between f (7) and f (14). Solution: ans: (a) f (7) = 3 and f (14) = 4, so between (7, 3)&(14, 4) we have m= 1. 7 , and y 3 = 1.
