Question

I need help finding the asymptotes, and domain of these two graphs..

1) 1/x^2
Vertical Asym.:?
Domain:?
Horizontal asym.: y=0

2) x^2/1
Vertical Asym.:?
Domain:?
Horizontal asym.: none

THANKS!

Answer 1

The answers for the horizontal asymptotes are correct.

Hints for the remainder:
1. All polynomials have a domain of R, or (-∞,∞).
2. Horizontal asymptotes are finite values to which the function approaches when x→±∞.
3. Vertical asymptotes for a rational function (i.e. polynomials in both numerator and denominator) occur when the denominator equals zero.
4. The domain of a rational function is therefore (-&infin,∞)-points at which vertical asymptotes occur.