Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Certainly! Let's complete the table step by step for the function [tex]\( y = \sqrt[3]{x} + 7 \)[/tex].
First, we need to find the cube root of each [tex]\( x \)[/tex] value and then add 7 to it:
1. For [tex]\( x = -8 \)[/tex]:
[tex]\[ y = \sqrt[3]{-8} + 7 \][/tex]
[tex]\[ y = -2 + 7 \][/tex]
[tex]\[ y = 5 \][/tex]
2. For [tex]\( x = -1 \)[/tex]:
[tex]\[ y = \sqrt[3]{-1} + 7 \][/tex]
[tex]\[ y = -1 + 7 \][/tex]
[tex]\[ y = 6 \][/tex]
3. For [tex]\( x = 1 \)[/tex]:
[tex]\[ y = \sqrt[3]{1} + 7 \][/tex]
[tex]\[ y = 1 + 7 \][/tex]
[tex]\[ y = 8 \][/tex]
4. For [tex]\( x = 8 \)[/tex]:
[tex]\[ y = \sqrt[3]{8} + 7 \][/tex]
[tex]\[ y = 2 + 7 \][/tex]
[tex]\[ y = 9 \][/tex]
So, after calculating the values of [tex]\( y \)[/tex], we get the following table:
[tex]\[ \begin{tabular}{|l|l|l|l|l|} \hline $x$ & -8 & -1 & 1 & 8 \\ \hline $y$ & 5 & 6 & 8 & 9 \\ \hline \end{tabular} \][/tex]
Hence, the correct answer is:
B) [tex]\( 5, 6, 8, 9 \)[/tex]
First, we need to find the cube root of each [tex]\( x \)[/tex] value and then add 7 to it:
1. For [tex]\( x = -8 \)[/tex]:
[tex]\[ y = \sqrt[3]{-8} + 7 \][/tex]
[tex]\[ y = -2 + 7 \][/tex]
[tex]\[ y = 5 \][/tex]
2. For [tex]\( x = -1 \)[/tex]:
[tex]\[ y = \sqrt[3]{-1} + 7 \][/tex]
[tex]\[ y = -1 + 7 \][/tex]
[tex]\[ y = 6 \][/tex]
3. For [tex]\( x = 1 \)[/tex]:
[tex]\[ y = \sqrt[3]{1} + 7 \][/tex]
[tex]\[ y = 1 + 7 \][/tex]
[tex]\[ y = 8 \][/tex]
4. For [tex]\( x = 8 \)[/tex]:
[tex]\[ y = \sqrt[3]{8} + 7 \][/tex]
[tex]\[ y = 2 + 7 \][/tex]
[tex]\[ y = 9 \][/tex]
So, after calculating the values of [tex]\( y \)[/tex], we get the following table:
[tex]\[ \begin{tabular}{|l|l|l|l|l|} \hline $x$ & -8 & -1 & 1 & 8 \\ \hline $y$ & 5 & 6 & 8 & 9 \\ \hline \end{tabular} \][/tex]
Hence, the correct answer is:
B) [tex]\( 5, 6, 8, 9 \)[/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.