A boolean-valued function is a type of function that returns either true or false. Think of it like a light switch in your house: when the switch is on, it is true (or the light is on) and when the switch is off, it is false (or the light is off). A boolean-valued function is like a light switch except you can use it to check if something is true or false. For example, if you have a function called "IsEven" and you give it an input of 3, the function can check if 3 is an even number or not. If it is even, the function will return true, and if it is not even, it will return false.