Algebra II/Asymptotes
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Rational Functions have vertical and horizontal "imaginary lines where a graph come close to but doesn't usually make contact or cross it" [aka] asymptotes. A vertical asymptote occur when x-values are undefined because they make the denominator equal to zero (0
). In order to find the vertical asymptote, you must:
- Factor the denominator (if possible).
- Set each factor to
0
. - Solve
X = #
will be the line of the vertical asymptote, represented as a vertical line. There may be one or more of these vertical asymptotes depending on the equation you're given.