Question

Hi! I’ve missed some school and need help with my homework please. Thank you

Answer 1

Rational function

A rational function is any function which can be written as the ratio of two polynomial functions.

Any function of one variable, x, is called a rational function if, and only if, it can be written in the form:

`\begin{gathered} f(x)=(P(x))/(Q(x)) \\ \end{gathered}`

Yes, a rational function always have an aymptote.

It always have an asymptote because the denominator can never be zero.

Yes, It is possible to have holes in the graph of a rational function.

The main reason why there is a hole because if there is the same factor in the numerator and denominator, there is a hole.