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Published byCharla Anderson Modified over 9 years ago
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Asymptotes Objective: -Be able to find vertical and horizontal asymptotes
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Asymptotes: An asymptote is a line or curve that describes the behavior of a graph. The two kinds of asymptotes we will be working with are vertical and horizontal.
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Types of Asymptotes Vertical Horizontal x = a y = b
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Finding a Vertical Asymptote Vertical asymptotes have an equation of x = a, where a is a value that makes only the denominator equal zero
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Examples 1) Find the vertical asymptote(s) of
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Examples 2) Find the vertical asymptote(s) of
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Examples 3) Find the vertical asymptote(s) of
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Examples 4) Find the vertical asymptote(s) of
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Finding a Horizontal Asymptote Horizontal asymptotes of a function, f(x), have an equation of y = b, where
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Examples 5) Find the horizontal asymptote(s) of
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Examples 6) Find the horizontal asymptote(s) of
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Examples 7) Find the horizontal asymptote(s) of
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Examples 8) Find the horizontal asymptote(s) of
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Examples 9) Find the horizontal asymptote(s) of
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In summary: We will be working with two types of asymptotes: vertical and horizontal To find a vertical asymptote, find where only the denominator is equal to zero To find a horizontal asymptote, find
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