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Mathematics 18 Online
OpenStudy (anonymous):

HELP!(: Describe the vertical asymptote(s) and hole(s) for the graph of y=(x-5)(x-2)/(x-2)(x+4)

OpenStudy (anonymous):

Look at your numerator and denominator. If there are any of the same term in both, you can cancel them out right? This tells you there's a hole at x = whatever. You can find the vertical asymptote like how we discussed earlier.

OpenStudy (amistre64):

\[\frac{ab}{bd}\] VA = d, hole = b

OpenStudy (amistre64):

well, when those zero ouot that is :)

OpenStudy (anonymous):

The horizontal asymptote would be dividing the lead term of num and dem, for future reference.

OpenStudy (amistre64):

forbidden knowledge ...

OpenStudy (anonymous):

@petewe i see

OpenStudy (anonymous):

would the asymptote be -4?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

thats your vertical asymptote, your horizontal would be x=1.

OpenStudy (anonymous):

@ash2326 do u agree also that the asymptote would be -4?

OpenStudy (anonymous):

and would the hole be x=2?

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

thanks

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