Question

look at this set of ordered pairs: (8, 9) (15, -18) (10, 9) (8, 16) (10, 16) (15, 13) is this relation a function? yes no

Explanation:

Step1: Recall function definition

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

Step2: Check x - values

• For \( x = 8 \), we have \( y = 9 \) and \( y = 16 \) (from ordered pairs \((8,9)\) and \((8,16)\)).
• For \( x = 10 \), we have \( y = 9 \) and \( y = 16 \) (from ordered pairs \((10,9)\) and \((10,16)\)).
• For \( x = 15 \), we have \( y=- 18\) and \( y = 13 \) (from ordered pairs \((15,-18)\) and \((15,13)\)).

Since some \( x \)-values have more than one \( y \)-value, the relation is not a function.

Answer:

no