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posted by  Rosser on 10/4/2009 12:59:52 PM  |  status: Closed  |  Earned Karma: 36

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N/A N/A N/A N/A 10/4/2009 at 8:00:00 PM
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a) Find the domain of f.
b) Write an equation for each horizontal asymptote of the graph of f.
Tags: Calculus
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Sage
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( brevard community college)
posted by steb on 10/4/2009 1:06:38 PM  |  status: Live
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Response Details:
x2+x+1 > 0 for all x, so the domain is all real numbers.

When x gets large and positive, f(x) approaches -2, and when x gets large and negative, f(x) approaches 2, so the horizontal asymptotes are y = -2 and y = 2.
Oracle
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posted by Marth on 10/4/2009 1:29:20 PM  |  status: Live
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Response Details:
a)
is undefined when you divide by or take the square root of a negative.  Because for all , neither occurs, and so the domain is all real numbers. 

b)
=(check with L'hopital's rule as necessary).
=.

Therefore, your horizontal asymptotes are and




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