Jennifer was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to Jennifer what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.
@Wolfboy
are these "rational functions" one polynomial over another?
i'm not sure ;-; probably ;-;
ok like for example \[f(x)=\frac{x+1}{x-2}\]?
Yes c:
ok i think they are talking about horizontal and vertical "asymptotes" have you heard of them?
yes
ok do you know how to find the "vertical asymptote"?
we can use the example i gave if you like
I usually just go in between here I'll show you lol
here is the graph http://www.wolframalpha.com/input/?i=%28x%2B1%29%2F%28x-2%29
in the graph i sent, there is a vertical asymptote at \(x=2\) since the denominator was \(x-2\) you can find it by setting \(x-2=0\) solve and get \(x=2\)
|dw:1461725983420:dw|
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