Question

FAN & MEDAL!!!
Need help with 1 problem!
http://i.imgur.com/hMknGTO.png

Answer 1

Please, don't bother with the "fan and medal" part. That's bribery.

Your expression can be re-written as\[y=\frac{ 6x-37 }{ x-7 }\]

Answer 2

Vertical asymptotes occur when there is division by zero. For what x value would that be the case?

Answer 3

Horizontal asymptotes occur when the function gets closer and closer to a certain y value as x becomes larger and larger.

Look at \[\frac{ 6x-37 }{ x-7 }\]

Answer 4

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, \[y=\frac{ \frac{ 6x-37 }{ x } }{ \frac{ x-7 }{ x } }\]

Answer 5

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.