Simple Graphing rational expressions question

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  • #1
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How do you find the point where the graph crosses the oblique asymptote?
 

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  • #2
rock.freak667
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If you mean how to find an oblique asymptote of a function. you basically get it into the form

[tex]f(x)=(ax+b) + \frac{g(x)}{h(x)}[/tex]

and then as [tex]x\rightarrow \infty, \frac{g(x)}{h(x)}\rightarrow 0[/tex]
and so [tex]f(x)\rightarrow ax+b[/tex] and that it is the oblique asymptote
 
  • #3
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I know how to find the oblique asymptote, but my question was how to find the point on the oblique asymptote where the graph crosses.

When it switches sides.
 
  • #4
symbolipoint
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I know how to find the oblique asymptote, but my question was how to find the point on the oblique asymptote where the graph crosses.

When it switches sides.
Unreasonable. The asymptote contains no point of the graph; the asymptote does not intercept the graph.
 

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