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Unformatted text preview: in the numerator and m is the largest exponent in the denominator.
We then have the following facts about asymptotes. © 2007 Paul Dawkins 239 http://tutorial.math.lamar.edu/terms.aspx College Algebra 1. The graph will have a vertical asymptote at x = a if the denominator is zero at x = a
and the numerator isn’t zero at x = a .
2. If n < m then the x-axis is the horizontal asymptote.
3. If n = m then the line y = a
is the horizontal asymptote.
b 4. If n > m there will be no horizontal asymptotes. The process for graphing a rational function is fairly simple. Here it is.
Process for Graphing a Rational Function
1. Find the intercepts, if there are any. Remember that the y-intercept is given by
0, f ( 0 ) and we find the x-intercepts by setting the numerator equal to zero and ( ) solving.
2. Find the vertical asymptotes by setting the denominator equal to zero and solving.
3. Find the horizontal asymptote, if it exits, using the fact above.
4. The vertical asymptotes will divide the number line...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12