Paragraph

What can you deduce about the sets \(X\) and \(Y\) if you know,

1. there is an injective function \(f:X \to Y\text{?}\) Explain.

2. there is a surjective function \(f:X \to Y\text{?}\) Explain.

3. there is a bijective function \(f:X \to Y\text{?}\) Explain.