 I agree, there's no use in shoving a definition down someone's throat without motivating it and understanding why we define certain things indeed. And by the way, gang, the reason we talk about functions is important, right? Because functions are about being able to make predictions, right? So when we're talking about functions, it's extremely crucial in our world. So for example, one of the things that I use to explain functions to my students is this. Just imagine if you were driving a car. Some of my students drive a car, some don't. And I usually ask them, do you know how to drive a car or what the principle is? They go, yeah. I go, okay, what happens when you sit in the car, put the keys in the ignition, turn on the car, right, and put your car in drive and put your foot on the gas, right? Some people say the car moves. Some people say the car moves forward. That's the distinction between a relation and a function. Those that say the car moves, they're defining it as being a relationship. Those that say the car moves forward, they're defining it as a function. Because if they say the car moves, they're not specifying in which direction. Does it move forward, backward, left, right, up, down? Well if it moves forward or backward, it's no longer a function because it's not predictable, right? It's predictable on those two planes, but it's not predictable per exactly what it's going to do, right? So it becomes a relationship. You put your foot on the gas and the car moves. It becomes a function when you can make the prediction that it moves forward. When you put your foot on the gas, the car moves forward. That is now a function. With that, you can make predictions, accurate predictions, right?