Problem

\begin{tabular}{|c|c|}
\hline Domain & Range \\
\hline 4 & -9 \\
\hline-2 & -9 \\
\hline-8 & -8 \\
\hline-7 & 9 \\
\hline 2 & 0 \\
\hline
\end{tabular}

Function
Not a function

Answer

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Answer

\(\boxed{\text{The relation is a function.}}\)

Steps

Step 1 :The given table represents a relation between two sets, the domain and the range.

Step 2 :A relation is said to be a function if and only if each element in the domain corresponds to exactly one element in the range.

Step 3 :Looking at the table, we can see that the element 4 in the domain corresponds to -9 in the range, -2 also corresponds to -9 in the range.

Step 4 :This means that there are two elements in the domain that correspond to the same element in the range, which is allowed in a function.

Step 5 :However, the element -9 in the range corresponds to both 4 and -2 in the domain.

Step 6 :This is also allowed in a function, as a function can have the same output for different inputs.

Step 7 :Therefore, based on the given table, the relation is a function.

Step 8 :\(\boxed{\text{The relation is a function.}}\)

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