Determine if Set of Points is a Function Score: 0/2 Penalty: none Question Which set of ordered pairs represents a function? \[ \{(-5,-9),(-7,-9),(-5,-7),(-8,6)\} \] \( \{(-1,6),(0,-3),(5,-9),(-1,3)\} \) \( \{(1,2),(-6,2),(3,9),(5,3)\} \) \( \{(-3,9),(2,7),(2,-4),(1,5)\} \)

To determine if a set of ordered pairs represents a function, each input (the first element) must be associated with exactly one output (the second element). In the first set, \( (-5,-9) \) and \( (-5,-7) \) have the same input but different outputs, thus it is not a function. The second set has \( (-1,6) \) and \( (-1,3) \) repeating the same input with different outputs, so it is also not a function. The third set has \( 1, -6, 3, 5 \) as unique inputs; therefore, it is a function. In the last set, \( 2 \) appears twice with different outputs \( (2,7) \) and \( (2,-4) \), making it not a function. So the set that represents a function is \( \{(1,2),(-6,2),(3,9),(5,3)\} \). Also, here's a fun fact: the term "function" originates from the Latin word "functio," which means "performance" or "execution." It’s like a math magician performing a trick with every input producing a unique and predictable output! Understanding functions can be applied in various real-world contexts, such as ensuring products, like smartphones or services, consistently deliver expected features or characteristics based on specific inputs. Businesses often model relationships, like supply and demand, using functions to predict outcomes based on varying conditions!