anonymous
  • anonymous
FAN & MEDAL!!! Need help with 1 problem! http://i.imgur.com/hMknGTO.png
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathmale
  • mathmale
Please, don't bother with the "fan and medal" part. That's bribery. Your expression can be re-written as\[y=\frac{ 6x-37 }{ x-7 }\]
mathmale
  • mathmale
Vertical asymptotes occur when there is division by zero. For what x value would that be the case?
mathmale
  • mathmale
Horizontal asymptotes occur when the function gets closer and closer to a certain y value as x becomes larger and larger. Look at \[\frac{ 6x-37 }{ x-7 }\]

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mathmale
  • mathmale
Supposing that x were to grow larger and larger, the fraction will get closer and closer to which y value? Alternatively, divide every term in the numerator and denominator by the highest x power, which is just x. Then, \[y=\frac{ \frac{ 6x-37 }{ x } }{ \frac{ x-7 }{ x } }\]
mathmale
  • mathmale
Again, ask yourself what happens as x grows large. Note: (6x-37)/x reduces to 6-37/x. Simplify the denominator in the same way.

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