Question

Complete the table of values for the function y equals x cubed minus 2.
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 \( y = x^3 - 2 \), we will calculate \( y \) for each value of \( x \) provided.

Let's calculate the values step by step:

1. For \( x = -3 \):
\[
y = (-3)^3 - 2 = -27 - 2 = -29
\]

2. For \( x = -2 \):
\[
y = (-2)^3 - 2 = -8 - 2 = -10
\]

3. For \( x = -1 \):
\[
y = (-1)^3 - 2 = -1 - 2 = -3
\]

4. For \( x = 0 \):
\[
y = (0)^3 - 2 = 0 - 2 = -2
\]

5. For \( x = 1 \):
\[
y = (1)^3 - 2 = 1 - 2 = -1
\]

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

7. For \( x = 3 \):
\[
y = (3)^3 - 2 = 27 - 2 = 25
\]

Now, we can fill in the table:

| \( x \) | \( y \) |
|-----------|-----------|
| -3 | -29 |
| -2 | -10 |
| -1 | -3 |
| 0 | -2 |
| 1 | -1 |
| 2 | 6 |
| 3 | 25 |

Here is the completed table of values.