Classifying functions by their domain and range can be tough for students.

1. Domain Troubles:

• Figuring out restrictions, like when you can't divide by zero or when you have square roots of negative numbers, can be confusing.
• Sometimes, students forget to look at all the possible input values. This can lead to missing some important parts of the domain.

2. Range Struggles:

• Finding the set of output values means understanding how the function works, which isn't always easy.
• Students may have a hard time with functions that have lines they can’t touch (called asymptotes) or that aren't defined for certain outputs.

Helpful Tips:

• Use graphs to see how functions behave. This can make it easier to understand them.
• Practice with different functions. Focus on finding restrictions and outputs in a careful, step-by-step way.