Question

is this relation a function? yes a no b 7. consider the relation on the graph below is this relation a function?

Explanation:

Step1: Check first relation's x-values

The first relation has x-values: 6, 9, 7, 4, 2. All are unique (each x maps to one y).

Step2: Apply function definition

A function has each x with only one y. This holds for the first relation.

Step3: Check graph's x-values

The graph has points with x-values: 2, 4, 4, 6, 8. The x-value 4 appears twice (maps to two different y-values).

Step4: Apply function definition to graph

Since one x has two y-values, the graph relation is not a function.

Answer:

1. For the table relation: A. Yes
2. For the graph relation: No