Question

Complete the table of values for the function y equals x cubed plus 4.
x
y
minus3
  
enter your response here
minus2
  
enter your response here
minus1
  
enter your response here
0
  
enter your response here
1
  
enter your response here
2
  
enter your response here
3
  
enter your response here

Answer 1

To complete the table of values for the function \( y = x^3 + 4 \), we can calculate the value of \( y \) for each given \( x \).

1. For \( x = -3 \):
\[
y = (-3)^3 + 4 = -27 + 4 = -23
\]

2. For \( x = -2 \):
\[
y = (-2)^3 + 4 = -8 + 4 = -4
\]

3. For \( x = -1 \):
\[
y = (-1)^3 + 4 = -1 + 4 = 3
\]

4. For \( x = 0 \):
\[
y = (0)^3 + 4 = 0 + 4 = 4
\]

5. For \( x = 1 \):
\[
y = (1)^3 + 4 = 1 + 4 = 5
\]

6. For \( x = 2 \):
\[
y = (2)^3 + 4 = 8 + 4 = 12
\]

7. For \( x = 3 \):
\[
y = (3)^3 + 4 = 27 + 4 = 31
\]

Now, we can fill in the completed table with the calculated values:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-3 & -23 \\
-2 & -4 \\
-1 & 3 \\
0 & 4 \\
1 & 5 \\
2 & 12 \\
3 & 31 \\
\hline
\end{array}
\]