Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
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]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.