need a function table for this problem x^3-3=y

just do the math

x --- y
0 --- -3
1 ---- -2
2 --- 5
3 --- 24
...
...
You might also try negative x's
-1 --- (-4)
..

To create a function table for the given problem, we need to substitute different values of x into the given equation and solve for y. Let's start with a few different values of x.

Let's choose x = -2:
Substituting x = -2 into the equation, we get:
(-2)^3 - 3 = -8 - 3 = -11
So, when x = -2, y = -11.

Now, let's choose x = -1:
Substituting x = -1 into the equation, we get:
(-1)^3 - 3 = -1 - 3 = -4
So, when x = -1, y = -4.

Next, let's choose x = 0:
Substituting x = 0 into the equation, we get:
(0)^3 - 3 = 0 - 3 = -3
So, when x = 0, y = -3.

Continuing in a similar manner, we can choose additional values for x and find corresponding values for y. For example:

When x = 1, y = 1 - 3 = -2.
When x = 2, y = 8 - 3 = 5.
When x = 3, y = 27 - 3 = 24.

And so on.

Using these values, we can create a function table as follows:

x | y
--------
-2 | -11
-1 | -4
0 | -3
1 | -2
2 | 5
3 | 24

So, this is the function table for the given problem.