Which of the following best represents a function? A function is a set of ordered pairs such that each input value has exactly one output value. A function is a relation where the \( y \)-values have to be repeated with different \( x \)-values. All relations are functions. A function is a set of ordered pairs where the \( x \)-values can be paired with multiple \( y \)-values.

To determine which statement best represents a function, let's analyze each option based on the definition of a function: 1. **A function is a set of ordered pairs such that each input value has exactly one output value.** - This statement is correct. A function must assign exactly one output value for each input value. 2. **A function is a relation where the \( y \)-values have to be repeated with different \( x \)-values.** - This statement is incorrect. While it is possible for different \( x \)-values to map to the same \( y \)-value, it is not a requirement for a relation to be a function. 3. **All relations are functions.** - This statement is incorrect. Not all relations are functions; a relation can have multiple outputs for a single input, which would disqualify it from being a function. 4. **A function is a set of ordered pairs where the \( x \)-values can be paired with multiple \( y \)-values.** - This statement is incorrect. A function cannot have multiple \( y \)-values for a single \( x \)-value. Based on this analysis, the first statement is the only one that accurately represents a function. **Final Answer:** A function is a set of ordered pairs such that each input value has exactly one output value.