To determine whether the relation is a function, we need to check if each input $x$ corresponds to exactly one output $y$. A relation is not a function if any input value $x$ is associated with more than one output value $y$.

Analysis of the Table:

• For $x = -1$, $y = 6$ → Valid
• For $x = 3$, $y = 10$ → Valid
• For $x = 7$, $y = 15$ and $y = 18$ → Invalid

Since the input $x = 7$ corresponds to two different outputs ($y = 15$ and $y = 18$), this relation is not a function.

Answer:

The relation is not a function because an input $x$ corresponds to more than one output value.

Would you like further clarification or additional practice? Here are 5 related questions you might explore:

1. What is the definition of a function in terms of relations?
2. How can you graphically determine if a relation is a function?
3. What is the vertical line test for functions?
4. Can you determine whether a set of ordered pairs forms a function?
5. How does a function differ from a general relation?

Tip: A quick way to test if a relation is a function is to ensure that no $x$-value repeats with a different $y$-value.