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Mathematics 22 Online
OpenStudy (anonymous):

What might be an example of a rational function with no vertical asymptotes or holes?

OpenStudy (anonymous):

Is that all it is?

OpenStudy (anonymous):

pick something where the denominator is never zero

OpenStudy (anonymous):

the picture above is no good, it does have a vertical asymptote

OpenStudy (anonymous):

Yeah I thought that one might have a vertical asymptote of 0 but I wasn't sure

OpenStudy (anonymous):

it does

OpenStudy (anonymous):

make your denominator something like \(x^2+1\) which is never zero

OpenStudy (anonymous):

so would something like y=1/x^2+1 work?

OpenStudy (anonymous):

or f(x)=1/x^2+1 I mean

OpenStudy (anonymous):

and would this function have any holes?

OpenStudy (anonymous):

@satellite73

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