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PLEASE HELP! 1) Find the rational function for the following graph. LINK to graph: http://imageshack.us/photo/my-images/69/20130408170236.jpg/
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vertical asymptote at \(x=-2\) and \(x=2\) so denominator could be \[(x-2)(x+2)=x^2-4\]
horizontal asymptote at \(y=2\) so the numerator has the same degree as the denominator, and the leading coefficient should be 2
so it might be \[f(x)=\frac{2x^2}{x^2-4}\]
hmm that is not quite right
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this one has zeros at \(-1\) and \(1\)
try \[f(x)=\frac{2(x^2-1)}{x^2-4}\] that will make the zeros where you want them
Oh I see! Yea putting it in shows the form. Thank you so much!!!
that is better https://www.wolframalpha.com/input/?i=2%28x^2-1%29%2F%28x^2-4%29+domain+-7..7
yw
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