SOLUTION: Find the range of y = (1 / (x-2))

Algebra ->  Rational-functions -> SOLUTION: Find the range of y = (1 / (x-2))      Log On


   



Question 1056066: Find the range of y = (1 / (x-2))
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x cannot equal 2
if x is very small, y approaches 0 from the negative side.
If x is very large, y approaches 0 from the positive side.
If we approach x=2 from the positive side, the function goes to positive infinity.
If we approach x=2 from the negative side, the function goes to negative infinity.
The range is all real numbers except 0, {-oo,0)U(0,+oo)}
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C1%2F%28x-2%29%29