Final answer:
A relation represents a function if each input value in the domain is paired with exactly one output value in the range. In this case, the relation {(-1,-3),(-2,-2),(-2,0),(2,2),(14,4)} does not represent a function because the input value of -2 is paired with both -2 and 0.
Step-by-step explanation:
A relation represents a function if each input value in the domain is paired with exactly one output value in the range. In this case, the relation {(-1,-3),(-2,-2),(-2,0),(2,2),(14,4)} does not represent a function because the input value of -2 is paired with both -2 and 0.
The input values in the domain are -1, -2, 2, and 14. When we look at these values, we can see that the input value of -2 has multiple output values (-2 and 0) associated with it. This violates the definition of a function, which requires each input to have only one corresponding output. Thus, the relation does not represent a function.