A rational function is like a fancy math equation with two parts: the top part (called the numerator) and the bottom part (called the denominator). Imagine you have two snacks, a cookie and a piece of fruit. The cookie is the numerator and the fruit is the denominator.
Now, let's say you want to figure out how much of each snack to eat. If you eat one whole cookie and one whole piece of fruit, you will feel very full. But, if you eat just a small piece of the cookie and a small piece of the fruit, you will feel less full.
In math terms, we can simplify a rational function by dividing the numerator and denominator by a common factor. This is like taking a small piece of the cookie and a small piece of the fruit so that we don't feel too full.
Rational functions can also be used to graph math equations. We can plot points on a graph to show where the function goes up, down, or stays the same. Just like how your mom might plot your height on a chart to see how much you've grown.
So, in summary, a rational function is like a fancy math equation with a top part and a bottom part. We can simplify it by dividing by a common factor and we can graph it to see how it goes up and down like a growing chart.