exam1_fa04

# exam1_fa04 - 3(6 points Let f x = √ 3-x(a Find the domain...

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Name: Section Number: TA Name: Section Time: Math 20A. Midterm Exam 1 October 20, 2004 You may use one page of notes, but no other assistance on this exam. Turn oF and put away your cell phone. 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 clari±cation. 1. (6 points) Consider the following graph of a function f . 4 1 2 3 (a) Find f (4). (b) Find lim x 4 - f ( x ). (c) Find lim x 4 + f ( x ). # Score 1 2 3 4 5 6 Σ

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2. (6 points) Consider the graph of the function f ( x ) = 16 x 2 + 5 x + 3 . (a) Identify the horizontal asymptote(s) by evaluating the appropriate limit(s). (b) Identify the vertical asymptote(s) by evaluating the appropriate limit(s).

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Unformatted text preview: 3. (6 points) Let f ( x ) = √ 3-x . (a) Find the domain and range of f . (b) Find the inverse function f-1 . Be sure to clearly state the domain and range of f-1 . 4. (6 points) Let f ( x ) = 1 3 + 4 x . Compute f ( x ) using the defnition oF the derivative. 5. (6 points) Let f ( x ) = x 2-5 x + 6 x 2-6 x + 8 . Compute the following limits of f . (a) lim x → 2 x 2-5 x + 6 x 2-6 x + 8 (b) lim x → 3 x 2-5 x + 6 x 2-6 x + 8 (c) lim x →∞ x 2-5 x + 6 x 2-6 x + 8 6. (6 points) Let f ( x ) = x 2 + 1. (a) Find the value of x for which the slope of the tangent line to the graph of f is equal to 4. (b) Find the value of b for which the line y = 4 x + b is tangent to the graph of f ....
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exam1_fa04 - 3(6 points Let f x = √ 3-x(a Find the domain...

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