Question

look at this set of ordered pairs:
(15, 2)
(10, 8)
(15, -3)
(11, 7)
(10, 9)
(17, 13)
is this relation a function?
yes
no

Explanation:

Step1: Recall the definition of a function

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

Step2: Check the x - values in the ordered pairs

• For the x - value of 15: We have two ordered pairs \((15,2)\) and \((15, - 3)\). Here, the input \(x = 15\) is associated with two different outputs \(y=2\) and \(y = - 3\).
• For the x - value of 10: We have two ordered pairs \((10,8)\) and \((10,9)\). Here, the input \(x = 10\) is associated with two different outputs \(y = 8\) and \(y=9\).

Answer:

no