# Domain, asymptotes, and discontinuity (oh my!)

• October 17th 2007, 06:41 PM
Truthbetold
Domain, asymptotes, and discontinuity (oh my!)
Without using a graphing calculator,
let f(x) = x/(abs(x^2 - 9))

(a)Write an equation for each vertical asymptote for the graph of f.
(b)Write an equation for each horizontal asymptote for the graph of f.
(d) Find all values of x for which f is discontinuous and classify each discontinuity as removable or non removable.
(e) Find the domain.

I can do a, b, d, and e after graphing, but graphing skills, without a calculator, are not my strong point.
C, I never understood it.

Thanks.
• October 18th 2007, 03:51 AM
Plato
Quote:

Originally Posted by Truthbetold
Without using a graphing calculator,
let f(x) = x/(abs(x^2 - 9))
It is odd if $f(-x)=-f(x)$.