exam1_fa03 - Name: TA Name: Math 20A. Midterm Exam 1...

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Name: Section Number: TA Name: Section Time: Math 20A. Midterm Exam 1 October 21, 2003 You may use one page of notes, but no other assistance on this exam. Read each question carefully, answer each question completely, and show all of your work. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clarification. Note: Use the limit definition of the derivative to compute any derivatives. 1. (5 points) Let g be a function such that g (1)=3and g 0 (1) = - 2. (a) Find an equation for the line tangent to the graph of g at the point (1 , 3). (b) Find the value of lim x 1 g ( x ) - g (1) x - 1 . # Score 1 2 3 4 5 Σ
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2. (5 points) Sketch the graph of a function f with the following properties: lim x →-∞ f ( x )=0 , lim x 0 f ( x )=1 ,f (0) = - 1 , lim x 1 f ( x )= -∞ , lim x →∞ f ( x –2 –1.5 –1 –0.5 0.5 1 1.5
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exam1_fa03 - Name: TA Name: Math 20A. Midterm Exam 1...

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