# SOLUTION: f(x)=x^2-36/x+6 I need help graphing this rational function. Thank you so much for your help!!

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: f(x)=x^2-36/x+6 I need help graphing this rational function. Thank you so much for your help!!      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rational-functions Question 142513: f(x)=x^2-36/x+6 I need help graphing this rational function. Thank you so much for your help!!Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website!I knew this one was coming, or one like it!! In this case, you cannot divide by zero, so x must NOT be allowed to equal -6. Now, having said that, if you reduce the fraction, you get: which reduces to , but x MUST NOT EQUAL -6! The comment above that x cannot equal -6 is very important!! This essentially places a HOLE in the graph!! The graph is a straight line with a hole in it. If you use a graphing calculator, you will see a straight line, but the hole in the graph will not show up, unless you know to look for it. Even then, you probably won't be able to see it. but there is a HOLE in the graph at x=-6! Probably your next question will be . This graph has an asyptote at x=6 and a hole in the graph at x=-6. R^2