Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Certainly! Let's complete the rest of the table step-by-step for the given function rule [tex]\( y = \frac{x}{2} + 5 \)[/tex]:
1. For [tex]\( x = -4 \)[/tex]:
[tex]\[ y = \frac{-4}{2} + 5 = -2 + 5 = 3 \][/tex]
So for [tex]\( x = -4 \)[/tex], [tex]\( y = 3 \)[/tex].
2. For [tex]\( x = -2 \)[/tex]:
[tex]\[ y = \frac{-2}{2} + 5 = -1 + 5 = 4 \][/tex]
So for [tex]\( x = -2 \)[/tex], [tex]\( y = 4 \)[/tex].
3. For [tex]\( x = 0 \)[/tex]:
[tex]\[ y = \frac{0}{2} + 5 = 0 + 5 = 5 \][/tex]
So for [tex]\( x = 0 \)[/tex], [tex]\( y = 5 \)[/tex].
4. For [tex]\( x = 2 \)[/tex]:
[tex]\[ y = \frac{2}{2} + 5 = 1 + 5 = 6 \][/tex]
So for [tex]\( x = 2 \)[/tex], [tex]\( y = 6 \)[/tex].
5. For [tex]\( x = 4 \)[/tex]:
[tex]\[ y = \frac{4}{2} + 5 = 2 + 5 = 7 \][/tex]
So for [tex]\( x = 4 \)[/tex], [tex]\( y = 7 \)[/tex].
Now we fill in the values in the table:
\begin{tabular}{l|lllll}
x & -4 & -2 & 0 & 2 & 4 \\
\hline
y & 3 & 4 & 5 & 6 & 7 \\
\end{tabular}
These are the completed values for the table based on the function rule [tex]\( y = \frac{x}{2} + 5 \)[/tex].
1. For [tex]\( x = -4 \)[/tex]:
[tex]\[ y = \frac{-4}{2} + 5 = -2 + 5 = 3 \][/tex]
So for [tex]\( x = -4 \)[/tex], [tex]\( y = 3 \)[/tex].
2. For [tex]\( x = -2 \)[/tex]:
[tex]\[ y = \frac{-2}{2} + 5 = -1 + 5 = 4 \][/tex]
So for [tex]\( x = -2 \)[/tex], [tex]\( y = 4 \)[/tex].
3. For [tex]\( x = 0 \)[/tex]:
[tex]\[ y = \frac{0}{2} + 5 = 0 + 5 = 5 \][/tex]
So for [tex]\( x = 0 \)[/tex], [tex]\( y = 5 \)[/tex].
4. For [tex]\( x = 2 \)[/tex]:
[tex]\[ y = \frac{2}{2} + 5 = 1 + 5 = 6 \][/tex]
So for [tex]\( x = 2 \)[/tex], [tex]\( y = 6 \)[/tex].
5. For [tex]\( x = 4 \)[/tex]:
[tex]\[ y = \frac{4}{2} + 5 = 2 + 5 = 7 \][/tex]
So for [tex]\( x = 4 \)[/tex], [tex]\( y = 7 \)[/tex].
Now we fill in the values in the table:
\begin{tabular}{l|lllll}
x & -4 & -2 & 0 & 2 & 4 \\
\hline
y & 3 & 4 & 5 & 6 & 7 \\
\end{tabular}
These are the completed values for the table based on the function rule [tex]\( y = \frac{x}{2} + 5 \)[/tex].
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.