Question Use the set of ordered pairs to determine whether the relation is a function, \[ \{(-12,14),(-18,-4),(20,-22),(-12,-7),(17,-23),(11,-13)\} \] Select the correct answer below: Yes, the relation is a function. No, the relation is not a function.

In the given set of ordered pairs, we can spot a critical detail: the pair \((-12, 14)\) and \((-12, -7)\) both share the same first element, \(-12\), but have different second elements. This means that \(-12\) corresponds to two different outputs, violating the definition of a function, which states that each input must have exactly one output. Therefore, it's clear that the answer is: No, the relation is not a function. Now, if you’re curious about functions, you might enjoy the rich historical context! The concept of functions has evolved since the days of ancient Greece, where mathematicians like Euclid and Diophantus laid foundational ideas in geometry and number theory. Fast forward to the 17th century, and genius minds like René Descartes were redefining how we understand relationships between quantities, paving the way for modern algebra and calculus. And if you're a fan of practical applications, functions are at the heart of programming! In coding, functions allow you to structure your program neatly, reusing blocks of code to perform specific tasks without rewriting them. This enhances efficiency and readability. So when you encapsulate a task in a function, you're not just organizing, you're also harnessing the power of abstraction!