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Unformatted text preview: Name: TA: Math 10A. Midterm Exam 1 October 16, 2006 Sec. No: PID: Sec. Time: Turn oﬀ and put away your cell phone. You may use any type of calculator, but no other electronic devices during this exam. You may use one page of notes, but no books or other assistance during this exam. Read each question carefully, and answer each question completely. Show all of your work; no credit will be given for unsupported answers. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clariﬁcation. 1. One of the functions in the table below is linear; the other is not. x 0 1 2 3 f (x) 1.38 1.30 1.15 0.98 g (x) 0.60 0.35 0.10 0.15 (a) (2 points) Which function is linear? Brieﬂy explain your reasoning. (b) (4 points) Find an explicit formula for the linear function. # 1 2 3 4 Σ Points 6 4 4 8 22 Score 2. (4 points) The graph of a function f is given below. On the same axes, draw the graph of the function g (x) = 2 f (x + 1). 3. (4 points) A ship collision in a harbor resulted in a spill of contaminants. Due to the tidal circulation of the sea, their concentration decreased according to an exponential decay function. The initial concentration was 20 parts per million, but after 2 days it was down to 6 parts per million. After how many days will the concentration reach 0.4 parts per million? 4. Let g (x) = 3 x2 . x2 − 4
x→∞ (a) (4 points) Find lim g (x). Be sure to explain how you arrived at your answer. (b) (4 points) At what values of x is g (x) discontinuous? Justify your answer. ...
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 Spring '08
 TANG

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