To complete the table of values for the function \( y = x^3 - 2 \), we will calculate the value of \( y \) for various values of \( x \). Let's choose some integer values of \( x \):
| \( x \) | \( y = x^3 - 2 \) | |---------|-------------------| | -2 | \((-2)^3 - 2 = -8 - 2 = -10\) | | -1 | \((-1)^3 - 2 = -1 - 2 = -3\) | | 0 | \(0^3 - 2 = 0 - 2 = -2\) | | 1 | \(1^3 - 2 = 1 - 2 = -1\) | | 2 | \(2^3 - 2 = 8 - 2 = 6\) | | 3 | \(3^3 - 2 = 27 - 2 = 25\) |
So the completed table of values is:
| \( x \) | \( y \) | |---------|---------| | -2 | -10 | | -1 | -3 | | 0 | -2 | | 1 | -1 | | 2 | 6 | | 3 | 25 |
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