Question

Determine if the following ordered pairs could exist together in a single 1 function: (1.2) (2,2) (3.2) (4,2) * These points could coexist in a single function These points could not coexist in a single function​.

Answer 1

The ordered pairs (1,2), (2,2), (3,2), (4,2) can coexist in a single function because each input (x-value) is associated with exactly one output (y-value), fulfilling the definition of a function.

Step-by-step explanation:

To determine if the ordered pairs (1,2), (2,2), (3,2), (4,2) could exist together in a single function, we must understand the definition of a function. A function is a relation between a set of inputs and a set of permissible outputs where each input is related to exactly one output. In the context of ordered pairs, the first number represents the input (x-value) and the second number the output (y-value). For the given set of ordered pairs, each x-value is unique, which means that each input is paired with only one output. Therefore, these ordered pairs can coexist in a single function because they meet the criterion of a function, where for every x-value, there is a unique y-value.