Graph the relation shown in the table. Is the relation a function? Why or why not?
2 answers:
Answer:
Option A
Step-by-step explanation:
A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.
According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.
The given ordered pairs of relation are (-5,-5), (-3,-3), (1,1) and (2,2).
For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.
Therefore, the correct option is A.
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