anonymous
  • anonymous
Identify the asymptotes of the graph of each function. Then graph the function.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[y = \frac{ 1 }{ x + 2 }\]
Mertsj
  • Mertsj
The vertical asymptote occurs where the denominator is 0. What value of x makes the denominator 0?
anonymous
  • anonymous
-2.

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Mertsj
  • Mertsj
So the vertical asymptote is x = -2
anonymous
  • anonymous
Okay, now to graph the function.
Mertsj
  • Mertsj
|dw:1368222257318:dw|
Mertsj
  • Mertsj
Now we know that the degree of the numerator is less than the degree of the denominator so that means that the y axis is a horizontal asymptote.
Mertsj
  • Mertsj
So you need to figure out which two areas the two branches will be in.
Mertsj
  • Mertsj
|dw:1368222410758:dw|
Mertsj
  • Mertsj
Can you figure that out?

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