Question

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

Answer 1

Answer:

$x=0$ for $f(x)=\frac{P(x)}{Q(x)}$, with $Q(x) \neq 0$.

Step-by-step 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 $f(x)=\frac{P(x)}{Q(x)}$, with $Q(x) \neq 0$.