answersLogoWhite

0

A rational function is the ratio of two polynomial functions. The function that is the denominator will have roots (or zeros) in the complex field and may have real roots. If it has real roots, then evaluating the rational function at such points will require division by zero. This is not defined.

Since polynomials are continuous functions, their value will be close to zero near their roots. So, near a zero, the rational function will entail division by a very small quantity and this will result in the asymptotic behaviour.

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
RossRoss
Every question is just a happy little opportunity.
Chat with Ross

Add your answer:

Earn +20 pts
Q: What about rational functions creates undefined and asymptotic behavior?
Write your answer...
Submit
Still have questions?
magnify glass
imp