Question

How can you analyze the numerator and/or the denominator in a rational expression to locate the x-intercepts?

Answer 1

`x=0` for
`f(x)=(P(x))/(Q(x))`, with
`Q(x) \\eq 0`.

Explanation:

To obtain x-intercepts, we need to give certain value, specifically
`x=0`.

However, in case of a rational function, we must make sure that
`x=0` doesn't makes the denominator null, beacuse in that case the function is undefined.

Therefore, for x-intercepts we must say

`x=0` for
`f(x)=(P(x))/(Q(x))`, with
`Q(x) \\eq 0`.