https://file.aiquickdraw.com/mathbot/file/1729551970101vhp3eyml.jpg

The table in the image provides the following pairs of \( (x, y) \) values:

\[
\begin{array}{c|c|c|c|c}
x & -10 & 3 & 0 & 1 \\
\hline
y & 2 & -8 & -3 & -4 \\
\end{array}
\]

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

\[
y = \{2, -8, -3, -4\}
\]

So, the range of the function is the set of these numbers. Expressing this as a set, we get:

\[
\boxed{\{-8, -4, -3, 2\}}
\]

Would you like further details on how the range was determined?

Here are 5 related questions to expand your understanding:
1. What is the domain of a function, and how does it relate to the range?
2. Can a function have more than one range for different intervals of \( x \)?
3. What is the difference between the range and the codomain of a function?
4. How can you find the range of more complex functions like quadratic or trigonometric functions?
5. Can a function have a range that includes only one value?

**Tip:** When listing a set of numbers for a function’s range, always order them from least to greatest unless specified otherwise.

Find the range of the function defined by the table below: x = {-10, 3, 0, 1}, y = {2, -8, -3, -4}

Learn how to find the range of a function using a set of ordered pairs from a table. In this example, we determine the range for the function defined by the x-values {-10, 3, 0, 1} and y-values {2, -8, -3, -4}.

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