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Mathematics 19 Online
OpenStudy (anonymous):

PLEASE HELP! 1) Find the rational function for the following graph. LINK to graph: http://imageshack.us/photo/my-images/69/20130408170236.jpg/

OpenStudy (anonymous):

vertical asymptote at \(x=-2\) and \(x=2\) so denominator could be \[(x-2)(x+2)=x^2-4\]

OpenStudy (anonymous):

horizontal asymptote at \(y=2\) so the numerator has the same degree as the denominator, and the leading coefficient should be 2

OpenStudy (anonymous):

so it might be \[f(x)=\frac{2x^2}{x^2-4}\]

OpenStudy (anonymous):

hmm that is not quite right

OpenStudy (anonymous):

this one has zeros at \(-1\) and \(1\)

OpenStudy (anonymous):

try \[f(x)=\frac{2(x^2-1)}{x^2-4}\] that will make the zeros where you want them

OpenStudy (anonymous):

Oh I see! Yea putting it in shows the form. Thank you so much!!!

OpenStudy (anonymous):

yw

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