Question

Determine whether the relation is a function or not.
{(-5, -2), (-1, 1), (-1, -6), (8,1)}
It is a function.
It is not a function.
It is neither a relation nor a function.
Cannot be determined.

Answer 1

To determine whether a relation is a function, we need to look at the pairs of values. A relation is a function if every input (first element of the pairs) maps to exactly one output (second element of the pairs).

In the given set of pairs:

1. (-5, -2)
2. (-1, 1)
3. (-1, -6)
4. (8, 1)

Here, we have two pairs that have the same first element, which is -1:

- Input -1 maps to output 1.
- Input -1 also maps to output -6.

Since the input -1 has two different outputs (1 and -6), this violates the definition of a function.

Therefore, the relation is **not a function**.