Question

Look at this set of ordered pairs:

(1, –2)
(1, 5)
(17, –8)

Is this relation a function?

Answer 1

To determine whether the given set of ordered pairs represents a function, we need to check if each input (or x-coordinate) is associated with exactly one output (or y-coordinate).

The ordered pairs you provided are:

- (1, -2)
- (1, 5)
- (17, -8)

Here we can see that the input \(1\) corresponds to two different outputs: \(-2\) and \(5\). This means that for the input \(1\), there is more than one output.

Since a function must have exactly one output for each input, the relation represented by these ordered pairs is **not a function**.