Bounded function

A bounded function is like a game where you have to stay in a certain area. Imagine you're playing tag and your mom says you can only play in the backyard. That's like a bounded function. It's a game where you can only run around in a certain area.

In a bounded function, there is a limit to how big or how small the numbers can be. It's like if you had a basket of apples and your mom said you could only have ten apples at most. You couldn't have eleven or twelve apples, you have to keep it to ten or fewer.

So, a bounded function is a math game where the numbers have to stay within a certain range. It's like playing tag in the backyard, where you have to stay within the boundaries of the yard. It helps mathematicians study and understand certain properties of functions, and it's also fun to play with numbers and limits!