Mid-Chapter Quiz
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We want find any holes, as well as the vertical and horizontal asymptotes, in the graph of the function.
Write as a difference
Factor out x&-2
Factor out (x+5)
Let's recall how to find horizontal asymptotes in rational functions.
y=q(x)p(x) | |
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The degree of p(x) is greater than the degree of q(x) | There are no horizontal asymptotes |
The degree of q(x) is greater than the degree of p(x) | y=0 is a horizontal asymptote |
The degrees of p(x) and q(x) are equal | y=ba is a horizontal asymptote, where a and b are the leading coefficients of p(x) and q(x), respectively |