Sure! Let’s dive into the fun world of functions and learn about domain and range! 🎉

What is a Function?

A function is a special kind of relationship.

In a function, every input (also known as the "x-value") has exactly one output (the "y-value").

This is different from other relationships, where one input might lead to many outputs.

What Are Domain and Range?

Understanding domain and range is important for knowing what a function is all about!

1. Domain:

   • The domain is the set of all possible input values that a function can take.
   • For example, if we look at the function ( f(x) = \sqrt{x} ), the domain includes all non-negative numbers. This means ( x ) can be 0 or any number greater than 0.

2. Range:

   • The range is the set of all possible output values from a function.
   • For the same function ( f(x) = \sqrt{x} ), the range is also all non-negative numbers. This means ( y ) can be 0 or any number greater than 0.

In Summary:

• The domain and range are important because they show us the limits and options for inputs and outputs in a function.
• Knowing these helps us understand functions better and makes learning math more fun! 🎉📈