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# How do you know if the graph of a fractional function has asymptotes?

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How do you know if the graph of a fractional function has asymptotes?

Nov 28, 2019

#1
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How do you know if the graph of a fractional function has asymptotes?

Firstly ou look for values that x or y cannot be.  That will take care of the vertical and horizontal asymptotes.

For instance

You cannot divide by 0 so

for instance in       $$y=\frac{3}{x+2}$$

x=-2 would be an asymptote,

also 3 divided by anything cannot be 0 so   y=0 is also an asymptote.

You do have to be careful though because sometimes these values are holes in the graph and not asymptotes at all.

It takes practice to work out the nuances of graphing.

After you think about what a graph might look like enter it into desmos graphing calculator to see if you are right.

https://www.desmos.com/calculator

Nov 28, 2019
#2
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Ah I see. Thank you Melody!

Guest Nov 28, 2019
#3
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You are very welcome :)

Melody  Nov 28, 2019