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Math 1090 Quiz 4 March 9, 2015 Answer the following questions in the space provided. The value of every question is indicated at the beginning. Time: 12 minutes. Name: UID: 1. (10 points) For this piecewise function −x2 + 2, x < −1 |x|, −1 ≤ x < 2 f (x) = −x2 + 2, x ≥ 2 (a) Fill in the table x −2 −1 0 1 2 f (x) (b) Sketch the graph of f . 2. Consider the function f (x) = 2+x 1−x (a) What are (if any) the vertical asymptotes? (b) For every vertical asymptote x = a, find the limits limx→a f (x) and lima←x f (x). (c) What are, if any, the horizontal asymptotes? (d) Find the x-intercepts and the y-intercept. (e) Sketch the graph of the function Page 2