Solution:
1. Choose a set of x-values. Typically, for a quadratic function like f(x) = x^2 - 1, we use a symmetric range around zero. Let's use x = -3, -2, -1, 0, 1, 2, 3.
2. Calculate the corresponding y-values for each x:
* For x = -3:
* f(-3) = (-3)^2 - 1 = 9 - 1 = 8
* For x = -2:
* f(-2) = (-2)^2 - 1 = 4 - 1 = 3
* For x = -1:
* f(-1) = (-1)^2 - 1 = 1 - 1 = 0
* For x = 0:
* f(0) = 0^2 - 1 = -1
* For x = 1:
* f(1) = 1^2 - 1 = 0
* For x = 2:
* f(2) = 2^2 - 1 = 4 - 1 = 3
* For x = 3:
* f(3) = 3^2 - 1 = 9 - 1 = 8
3. Create the table:
Column x
* -3
* -2
* -1
* 0
* 1
* 2
* 3
Column f(x) = x^2 - 1
* 8
* 3
* 0
* -1
* 0
* 3
* 8