I am confused as to what the difference is between domain and range can someone explain it and how to calculate domain and range.
The domain is all the possible x values
The range is all the range is all the posible y vlues.
You can often get it just by looking at or thinking about the curve.
Sometimes you must look at the eqation and look at what values x or y can, or cannot take.
You cannot divide by 0 so x is not zero
so the domain is all real x where x is not equal to 0
\(Domain:\:x\in R\;\;where\;\; \:x\ne0\;\;\)
1 divided by anything is not equal to 0 so y-2 is not equal to 0 so y is not equal to 2
\(Range:\:y\in R\;\;where\;\; \:y\ne2\;\;\)
So x=0 and y=2 are the asymptotes of this hyperbola.