Look at this set of ordered pairs:

(15, 17)
(9,8)
(15, -8)
(-4,20)
(9, 17)
(20, -8)
Is this relation a function?
yes
no
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1 answer

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Let's look at the ordered pairs:

  1. (15, 17)
  2. (9, 8)
  3. (15, -8)
  4. (-4, 20)
  5. (9, 17)
  6. (20, -8)

In this set, the input 15 is associated with two different outputs (17 and -8), and the input 9 is also associated with two different outputs (8 and 17).

Since the same input has multiple outputs, this relation is not a function.

So the answer is no.