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The problem asks to find the range of the function defined by the table below:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-5 & -3 \\
6 & 7 \\
3 & 1 \\
-2 & -3 \\
-3 & 4 \\
10 & -4 \\
\hline
\end{array}
\]

### Solution:
The **range** of a function is the set of all possible output values, which are the \( y \)-values in this case.

From the table, the \( y \)-values are:
- \( -3, 7, 1, -3, 4, -4 \)

Now, let's write them as a set (removing duplicates):

\[
\{ -4, -3, 1, 4, 7 \}
\]

Thus, the range of the function is:

\[
\boxed{\{-4, -3, 1, 4, 7\}}
\]

Would you like more details or have any questions?

### Related Questions:
1. What is the domain of the function defined by this table?
2. How do you find the domain and range of a function from its graph?
3. What are the properties of a function based on its range and domain?
4. How do you determine if a function is one-to-one using its range?
5. What is the difference between the range and the codomain of a function?

**Tip:** When finding the range, always check for duplicate \( y \)-values and remove them, as each value in a set should be unique.

Find the range of the function defined by the table below: x = {-5, 6, 3, -2, -3, 10}, y = {-3, 7, 1, -3, 4, -4}.

Learn how to determine the range of a function from a table of values. This problem focuses on functions and sets, explaining how to identify the unique output values (y-values) from the table. Suitable for students in Grades 8-10.

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