Question

Use the relation {(-3, 1), (-2, 0), (1, 2), (3, -4), (-3, 5)} which lists the correct domain?

{-3,-2,1,3}
{-4,-3,0,1,5}
{-4,-3,-2,0,1,2,5}
{-4,0,1,2,5}

Answer 1

The domain of a relation is the set of all first elements (or inputs) in the ordered pairs of the relation.

Given the relation {(-3, 1), (-2, 0), (1, 2), (3, -4), (-3, 5)}, the first elements (the x-values) are:

- from (-3, 1): -3
- from (-2, 0): -2
- from (1, 2): 1
- from (3, -4): 3
- from (-3, 5): -3 (already counted)

Now we collect all unique x-values:

-3, -2, 1, 3

Thus, the correct domain is:

{-3, -2, 1, 3}

So, the correct answer is:

{-3, -2, 1, 3}