The question asks whether the given relation represents $y$ as a function of $x$, based on the points:
$(1, 2), (2, -1), (3, 0), (4, 1), (5, -1).$

To determine if $y$ is a function of $x$:

1. A relation is a function if each value of $x$ is associated with only one value of $y$.
2. In the given points, all $x$-values are unique ($1, 2, 3, 4, 5$). Since no $x$-value is repeated, each $x$ is associated with exactly one $y$.

Correct Answer:

"The relation represents $y$ as a function of $x$, because each value of $x$ is associated with a single value of $y$."

Would you like a deeper explanation of this concept?

Related Questions:

1. What are the main differences between a function and a general relation?
2. How do you identify functions from a graph or table of values?
3. What does the vertical line test tell us about functions?
4. Can a relation where two $y$-values correspond to one $x$-value still be a function?
5. How do domain and range relate to determining if a relation is a function?

Tip:

Always verify the $x$-values for uniqueness when determining if a relation represents $y$ as a function of $x$.