Question

look at this set of ordered pairs:
(-6, 13)
(4, 1)
(11, 10)
(5, 2)
(14, 9)
(15, 9)
is this relation a function?
yes no

Explanation:

Step1: Recall the definition of a function

A relation is a function if every input (x - value) has exactly one output (y - value). In other words, no two ordered pairs in the relation should have the same x - value with different y - values.

Step2: Check the x - values of each ordered pair

• For the ordered pair \((-6,13)\), the x - value is \(-6\).
• For \((4,1)\), the x - value is \(4\).
• For \((11,10)\), the x - value is \(11\).
• For \((5,2)\), the x - value is \(5\).
• For \((14,9)\), the x - value is \(14\).
• For \((15,9)\), the x - value is \(15\).

Now, we check if any x - value is repeated. The x - values are \(-6,4,11,5,14,15\). All of these x - values are unique. That means each input (x - value) has exactly one output (y - value).

Answer:

yes