Complete the table of values for the function y equals x cubed minus 4.

Question

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
​(Type integers or simplified fractions. Type N

Answer 1

To complete the table for the function \( y = x^3 - 4 \), we will substitute each value of \( x \) into the equation and solve for \( y \).

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

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

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

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

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

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

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

Now, we can summarize the completed table:

| \( x \) | \( y \) | |:---------:|:---------:| | -3 | -31 | | -2 | -12 | | -1 | -5 | | 0 | -4 | | 1 | -3 | | 2 | 4 | | 3 | 23 |

Feel free to ask if you need any further assistance!