Question

1. a set of ordered pairs is given: (2,5), (3, 7), (2, 9), (4, 5)

determine if this set represents a function. explain your reasoning.

1. which table of values

Explanation:

A function requires each input (x-value) to have exactly one corresponding output (y-value). In the given set of ordered pairs, the x-value 2 is paired with two different y-values: 5 and 9. This violates the definition of a function.

Answer:

This set does NOT represent a function. The input x=2 is associated with two different outputs, y=5 and y=9, which fails the function requirement that each input has only one unique output.