1. The problem is to analyze the set of points $\{(-7, -3), (-7, 2), (-6, 1), (-2, 6), (5, 3)\}$ and understand their properties.
2. Each ordered pair represents a point on the Cartesian plane with coordinates $(x, y)$.
3. Notice that two points share the same $x$-coordinate $-7$ but have different $y$-coordinates $-3$ and $2$. This means the vertical line $x = -7$ passes through these two points.
4. The other points have distinct $x$-coordinates: $-6$, $-2$, and $5$.
5. There is no single function $y = f(x)$ that passes through all these points because a function can have only one $y$ value for each $x$ value, but here $x = -7$ corresponds to two different $y$ values.
6. We can describe the set as a collection of discrete points, some sharing the same $x$-coordinate but differing in $y$.
7. To visualize, plot each point on the Cartesian plane and note the vertical alignment of the points at $x = -7$.
Final answer: The set contains five points, with two points vertically aligned at $x = -7$, indicating the relation is not a function.
Point Set Analysis D58410
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