A graph of ordered pairs A rule that assigns to each input exactly one output All of the choices are correct An input and corresponding output

All of the choices you've listed correctly describe aspects of a **function** in mathematics. Here's how each option relates to the definition of a function: 1. **A graph of ordered pairs**: - A function can be represented graphically as a set of ordered pairs \((x, y)\), where each \(x\) (input) is paired with exactly one \(y\) (output). The graph visually demonstrates this one-to-one relationship. 2. **A rule that assigns to each input exactly one output**: - This is the fundamental definition of a function. It specifies that for every input value, there is precisely one corresponding output value. 3. **An input and corresponding output**: - This emphasizes the basic relationship in a function, where each input (often represented by \(x\)) is linked to a single output (often represented by \(y\)). 4. **All of the choices are correct**: - Since each of the above statements accurately describes a function, this option acknowledges that all provided descriptions are valid. **Conclusion:** **All of the choices are correct**. Each option accurately represents a different aspect of what constitutes a function in mathematics.