Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

What is the range of the relation in the table below?

[tex]\[
\begin{tabular}{|c|c|}
\hline
$x$ & $y$ \\
\hline
-2 & 0 \\
\hline
-1 & 2 \\
\hline
0 & 4 \\
\hline
1 & 2 \\
\hline
2 & 0 \\
\hline
\end{tabular}
\][/tex]

Range: {0, 2, 4}

Sagot :

GinnyAnswer
To determine the range of the relation given in the table, we need to focus on the [tex]\( y \)[/tex]-values because the range of a function or relation is the set of all possible [tex]\( y \)[/tex]-values (outputs).

Here are the given pairs from the table along with their respective [tex]\( y \)[/tex]-values:

[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline -2 & 0 \\ \hline -1 & 2 \\ \hline 0 & 4 \\ \hline 1 & 2 \\ \hline 2 & 0 \\ \hline \end{array} \][/tex]

From the table, the [tex]\( y \)[/tex]-values are:

[tex]\[ y = 0, 2, 4, 2, 0 \][/tex]

Notice that some [tex]\( y \)[/tex]-values are repeated. We need the set of unique [tex]\( y \)[/tex]-values to determine the range. So, we list each [tex]\( y \)[/tex]-value without repetition:

[tex]\[ \{0, 2, 4\} \][/tex]

Finally, we can also arrange these values in ascending order to present the range in a standard format:

[tex]\[ \{0, 2, 4\} \][/tex]

Therefore, the range of the relation is:

[tex]\[ \{0, 2, 4\} \][/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.