Subjects algebra

Function Check 2Bba48

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1. **State the problem:** We are given the points $(-2, 3)$, $(3, -2)$, $(1, 3)$, and $(0, -2)$ and asked to determine if these points represent a function. 2. **Recall the definition of a function:** A set of points represents a function if and only if each input (or $x$-value) corresponds to exactly one output (or $y$-value). 3. **Check the $x$-values:** The $x$-values are $-2$, $3$, $1$, and $0$. Each $x$-value is unique and appears only once. 4. **Check the $y$-values:** The $y$-values are $3$, $-2$, $3$, and $-2$. It is allowed for different $x$-values to have the same $y$-value. 5. **Conclusion:** Since no $x$-value repeats with a different $y$-value, the set of points represents a function. **Final answer:** Yes, these points represent a function because each input $x$ has exactly one output $y$.