Question

look at this set of ordered pairs:
(0, 20)
(10, 10)
(-6, 20)
(8, 20)
(4, -10)
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 in the relation should have the same x - value with different y - values.

Step2: Check the x - values of the ordered pairs

The ordered pairs are \((0, 20)\), \((10, 10)\), \((-6, 20)\), \((8, 20)\), \((4, - 10)\).

• The x - value \(0\) is paired with \(20\).
• The x - value \(10\) is paired with \(10\).
• The x - value \(-6\) is paired with \(20\).
• The x - value \(8\) is paired with \(20\).
• The x - value \(4\) is paired with \(-10\).

We can see that each x - value (\(0\), \(10\), \(-6\), \(8\), \(4\)) appears only once. So each input has exactly one output.

Answer:

yes