tips for finding asymptotes or holes
holes:
factor the numerator and see if it cancels out the denominator, if it does then the function has a hole
oblique asymptotes:
Use calculator--> F2 PropFrac and insert the function. take the equation you get and basically ignore the remainder (the fraction you get in your final equation) and that is the equation for the asymptote.
w/o calculator--> just divide the numerator by the denominator and ignore the remainder once again.
horizontal asymptotes:
big little principle, basically. these are hard to determine.
Vertical asymptotes:
when the denominator equals zero and doesnt cancel out with the numerator otherwise its a hole
factor the numerator and see if it cancels out the denominator, if it does then the function has a hole
oblique asymptotes:
Use calculator--> F2 PropFrac and insert the function. take the equation you get and basically ignore the remainder (the fraction you get in your final equation) and that is the equation for the asymptote.
w/o calculator--> just divide the numerator by the denominator and ignore the remainder once again.
horizontal asymptotes:
big little principle, basically. these are hard to determine.
Vertical asymptotes:
when the denominator equals zero and doesnt cancel out with the numerator otherwise its a hole
posted by Anonymous at 4:40 PM
2 Comments:
Other than the big little principle, a very simple way to find horizontal asymptotes is to simply graph the function on the calculator and find the y-value for a very big number.
spiffy. thanks sarah
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