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MATH 161 Quiz 3: Determining Asymptotes and Finding Tangent Slope - Prof. J. R. Buchanan, Quizzes of Calculus

A quiz from millersville university's department of mathematics for math 161. It includes two questions: the first asks students to find all horizontal and vertical asymptotes for the function f(x) = 3x^2 + 1 - x^2 - 2x - 3, and the second asks students to find the slope of the tangent line to the graph of f(x) = x^2 - 3x at x = -2. Students are expected to show their work and write out their answers neatly.

Typology: Quizzes

Pre 2010

Uploaded on 08/17/2009

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Millersville University Name
Department of Mathematics
MATH 161, Quiz 3
September 15, 2006
Please answer the following questions. Your answers will be evaluated on their correctness,
completeness, and use of mathematical concepts we have covered. Please show all work and
write out your work neatly. Answers without supporting work will receive no credit.
1. Determine all the horizontal and vertical asymptotes for the function
f(x) = 3x2+ 1
x2
2x3.
Clearly summarize your results.
pf2

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Millersville University Name Department of Mathematics MATH 161, Quiz 3 September 15, 2006

Please answer the following questions. Your answers will be evaluated on their correctness, completeness, and use of mathematical concepts we have covered. Please show all work and write out your work neatly. Answers without supporting work will receive no credit.

  1. Determine all the horizontal and vertical asymptotes for the function

f (x) =

3 x^2 + 1 x^2 − 2 x − 3

Clearly summarize your results.

  1. Find the slope of the tangent line to the graph of f (x) = x^2 − 3 x at a = −2.