Determine if the correspondence is a function. Domain \( \quad \) a set of numbers Correspondence \( \begin{array}{ll}\text { the square of each number } \\ \text { Range set of numbers }\end{array} \) Is this correspondence a function? Yes No

Yes, the correspondence described is a function. Here's why: ### Definition of a Function A **function** is a relation between a set of inputs (domain) and a set of possible outputs (range) where **each input is related to exactly one output**. ### Given Correspondence - **Domain:** A set of numbers. - **Correspondence:** The square of each number. - **Range:** Set of numbers resulting from the squaring process. ### Analysis - **Uniqueness:** For every number \( x \) in the domain, squaring it (\( x^2 \)) produces exactly one output. - **Well-Defined:** There is no ambiguity in the output; each input has a clear, single output. ### Conclusion Since every input number is associated with one and only one output (its square), the correspondence satisfies the definition of a function. **Answer:** Yes