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Unformatted text preview: Name: TA: Math 20A. Midterm Exam 1 October 18, 2006 Sec. No: PID: Sec. Time: Turn off and put away your cell phone. No calculators or any other electronic devices are allowed 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. The line y = 3x + 5 is tangent to the graph of a function f at the point (1, 8). (a) (2 points) Find f (1). (b) (2 points) Find f (1). # 1 2 3 4 5 Points 4 6 8 6 6 30 Score 2. Let f (x) = ln(x + 3) + 4. (a) (2 points) Find the domain and range of f . (b) (2 points) Find a formula for f 1 (x). (c) (2 points) Find the domain and range of f 1 . 3. Let f (x) = 9x2 + 5 . x+2 (a) (6 points) Identify all asymptotes (vertical and horizontal) of f . (b) (2 points) What is the domain of f ? 4. (6 points) Let f (x) = x4  2x3  x2  1. Show that the equation f (x) = 0 has at least one negative root. 5. (6 points) Evaluate lim
x2 6x2 + 1  5 . Be sure to show all of your work. x2 ...
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 Spring '08
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