Sketch a rough graph of .
Hint
We have a vertical asymptote at x = 0, and horizontal asymptote at y = 1, and an x-intercept of (1, 0).
Answer
Once you get things to cancel out, this rational expression starts to look very familiar…Just don't forget the hole at x = -2.
Do not, we mean DO NOT, forget the negative sign out front while doing long division to find the slant asymptote. It's very important.
There are two vertical asymptotes, so the graph is split into three sections. Get points for all of them, especially the kind of weird middle section.
The slant asymptote is y = 5x – 10, and the vertical asymptote is x = 2.
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