Imagine you have a magic machine that takes numbers in and gives you different numbers out. A quartic function is a specific type of magic machine that takes in a number, multiplies it by itself 4 times, and then adds up all the results to give you a final output number.
So, if you put in the number 2, the quartic function would do this:
2 x 2 x 2 x 2 = 16
And then add up all the 16s to give you the output number.
Quartic functions have a special shape when you graph them on a coordinate plane. The graph looks a bit like a stretched out "W" or an "M". It has 4 different "arms" that can point up or down, depending on the values of the numbers you put into the function.
People use quartic functions in lots of different fields, like physics and engineering, to model complex systems and predict what might happen in certain situations.