Question

or
Look at this set of ordered pairs:

(18, 17)
(3, 5)
(4, 4)
(4, 20)

Is this relation a function?

Answer 1

To determine if the relation defined by the set of ordered pairs is a function, we need to check if each input (the first element of each ordered pair) is associated with exactly one output (the second element of each ordered pair).

Here are the ordered pairs you provided:

1. (18, 17)
2. (3, 5)
3. (4, 4)
4. (4, 20)

Now, let's examine the inputs:

- The input 18 corresponds to the output 17.
- The input 3 corresponds to the output 5.
- The input 4 corresponds to two different outputs: 4 and 20.

Since the input 4 is associated with two different outputs (4 and 20), this means that the relation is **not** a function. In a function, each input must map to exactly one output. Therefore, the presence of two outputs for a single input (4) disqualifies this relation from being a function.