To find the intercepts of a rational function, you start with the y-intercept.

This is the point where the graph meets the y-axis.

To find this point, you need to figure out what happens when $x = 0$.

Just put $0$ into your function.

For example, if your function looks like this: $f(x) = \frac{numerator}{denominator}$, then to find the y-intercept, you do this: $f(0) = \frac{numerator(0)}{denominator(0)}.$

Now, let's move on to the x-intercept.

This is where the graph hits the x-axis or where $f(x) = 0$.

To find the x-intercept, you set your entire function equal to zero and solve for $x$.

Most of the time, all you need to do is set the numerator equal to zero.

As long as the denominator isn’t zero at that x value, a fraction is zero when the numerator is zero.

And that’s all there is to it!

Happy graphing!