Understanding domain and range in AS-Level Mathematics is really important for a few reasons:

1. Graphing Functions:

   • The domain tells you what x-values you can use.
   • The range shows the possible y-values.
   • This information helps you draw accurate graphs.

2. Problem Solving:

   • Many equations have rules or limits.
   • Knowing the domain helps you avoid mistakes in calculations,
   • Like when you might accidentally divide by zero.

3. Real-World Applications:

   • Functions can represent real-life situations.
   • The domain and range can show limits in things like time or distance.
   • This makes math feel more connected to everyday life.

Overall, understanding domain and range is key to getting a good grasp of how functions work!