SOLUTION: I have another question: How do I graph this rational function f(x)= 6/(x-6)^2 Thanks!

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Question 142510: I have another question:
How do I graph this rational function f(x)= 6/(x-6)^2
Thanks!

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+6%2F%28x-6%29%5E2

Begin by observing that the denominator must NEVER equal zero, so x cannot equala 6. There is an asymptote at x=6. Graph a few points (values of x close to 6 will be most effective!) to see what it looks like or use a graphing calculator:
f%28x%29=+6%2F%28x-6%29%5E2
If x = 0, then f(x) = 6/36=1/6
If x=3, then f(x) =6/9=2/3
If x=4, then f(x)=6/4=3/2
If x=5, then f(x=)6/1=6
If x=7, then f(x)=6/1=6
If x=8, then f(x) =6/4=3/2
etc.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C6%2F%28x-6%29%5E2%29

R^2