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
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