anonymous
  • anonymous
Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 9 as x approaches 9 from the left
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
https://i.gyazo.com/9edc255218408f44850cdf4f8becd7b0.png
mathmate
  • mathmate
|dw:1440034718441:dw| The above shows the graph y=1/x for f(x)=1/(x-9), it's the same graph translated to the right by 9 units.
anonymous
  • anonymous
so its c?

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anonymous
  • anonymous
mathmate
  • mathmate
"for f(x)=1/(x-9), it's the same graph translated to the \(right\) by 9 units."
anonymous
  • anonymous
so than -infinite; x=9
mathmate
  • mathmate
Yes, as explained below. |dw:1440035327312:dw| When f(x) is transformed to g(x)=a.f(x-h)+k, it is vertically stretched by "a", translated to the right by h, and translated upwards by k. Here, a=1, k=0 and h=9, so it moves to the right by 9 units.
anonymous
  • anonymous
alright i understand. Thank You! :D

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