Students face a few challenges when learning about domain and range in math. Let’s break them down:

1. Understanding Definitions:

   • A lot of students find it hard to understand what domain and range really mean.
   • The domain is all about the input values (the numbers you plug in), while the range is about the output values (the results you get).

2. Identifying Restrictions:

   • About 60% of students don’t notice the restrictions that sometimes happen.
   • This includes things like certain values for $x$ that can’t be used.

3. Graph Interpretation:

   • Only 40% of students can read graphs well enough to find the domain and range, especially with piecewise functions.
   • Piecewise functions are just functions that have different rules in different parts.

4. Notation Confusion:

   • Many students mix up interval notation and set-builder notation.
   • This confusion can lead to mistakes, with about 45% misusing these ways of writing down domain and range.

Understanding these concepts is key to getting better at math!