tripyy18
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Given the following information, complete the associated tasks.

1. The set of ordered pairs:
[tex]\[
\{(-2,4), (0,2), (-1,3), (4,-2)\}
\][/tex]

2. The mapping diagram:
[tex]\[
\square
\][/tex]

3. The function:
[tex]\[
y = x^4
\][/tex]
[tex]\[
\square
\][/tex]

4. The table:
[tex]\[
\begin{tabular}{|c|c|}
\hline
$x$ & $y$ \\
\hline
-3 & 5 \\
\hline
-1 & 2 \\
\hline
1 & -1 \\
\hline
-1 & 4 \\
\hline
\end{tabular}
\][/tex]
[tex]\[
\square
\][/tex]

Sagot :

GinnyAnswer
Let's work through the problem step-by-step:

1. Given Set of Ordered Pairs:
[tex]\[ \{(-2, 4), (0, 2), (-1, 3), (4, -2)\} \][/tex]
This is a set of pairs where each pair [tex]\((x, y)\)[/tex] is given.

2. Calculate [tex]\( y = x^4 \)[/tex] for Each Given Value of [tex]\( x \)[/tex]:

For each [tex]\(x\)[/tex] in the given ordered pairs, we need to compute [tex]\( y = x^4 \)[/tex]:

- For [tex]\((-2, 4)\)[/tex], [tex]\( x = -2 \)[/tex]:
[tex]\[ y = (-2)^4 = 16 \][/tex]

- For [tex]\((0, 2)\)[/tex], [tex]\( x = 0 \)[/tex]:
[tex]\[ y = 0^4 = 0 \][/tex]

- For [tex]\((-1, 3)\)[/tex], [tex]\( x = -1 \)[/tex]:
[tex]\[ y = (-1)^4 = 1 \][/tex]

- For [tex]\((4, -2)\)[/tex], [tex]\( x = 4 \)[/tex]:
[tex]\[ y = 4^4 = 256 \][/tex]

Thus, we have the [tex]\( y \)[/tex] values calculated for the corresponding [tex]\( x \)[/tex]-values as:
[tex]\[ \{256, 0, 1, 16\} \][/tex]

3. Given Table:

The given table is:
[tex]\[ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline -3 & 5 \\ \hline -1 & 2 \\ \hline 1 & -1 \\ \hline -1 & 4 \\ \hline \end{tabular} \][/tex]

4. Calculate [tex]\( y = x^4 \)[/tex] for Each [tex]\( x \)[/tex] in the Table:

- For [tex]\( x = -3 \)[/tex]:
[tex]\[ y = (-3)^4 = 81 \][/tex]

- For [tex]\( x = -1 \)[/tex]:
[tex]\[ y = (-1)^4 = 1 \][/tex]

- For [tex]\( x = 1 \)[/tex]:
[tex]\[ y = 1^4 = 1 \][/tex]

- For the other [tex]\( x = -1 \)[/tex]:
[tex]\[ y = (-1)^4 = 1 \][/tex]

Thus, the computed [tex]\( y \)[/tex]-values for the table are:
[tex]\[ \{81, 1, 1, 1\} \][/tex]

Summarized Answer:

- The given set of ordered pairs: [tex]\[\{(-2, 4), (0, 2), (-1, 3), (4, -2)\}\][/tex]
- The computed [tex]\( y \)[/tex] values for [tex]\( y = x^4 \)[/tex] from the ordered pairs: [tex]\[ \{256, 0, 1, 16\} \][/tex]
- The given table of [tex]\( x \)[/tex] and [tex]\( y \)[/tex]:
[tex]\[ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline -3 & 5 \\ \hline -1 & 2 \\ \hline 1 & -1 \\ \hline -1 & 4 \\ \hline \end{tabular} \][/tex]
- The computed [tex]\( y \)[/tex] values for [tex]\( y = x^4 \)[/tex] from the table [tex]\( x \)[/tex]-values: [tex]\[ \{81, 1, 1, 1\} \][/tex]

These results comprehensively answer the question by detailing each step involved in calculating the specified values.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.