When you want to graph rational functions
what two things do you look out for?
`
1. Denominators containing x, some
value(s) of which cause the denominator to
be zero. In this case you will usually
have a vertical asymptote; however,
sometimes you have a "hole in the curve" or
"removable discontinuity".
`
2, Even root radicals containing x,
some values of which cause the "radicand"
(what's under the radical) to be negative.
`
The range of a rational function does not
include any values of x which cause either
any denominator to be 0, or which cause any
even-root radicand to be negative.
Note: By "even root" I mean square root,
fourth root, sixth root, eighth root, etc.
Edwin
