Final answer:
To evaluate the function f(x) = x^2 - 1 at the values 2 and -2, we substitute and simplify to get a result of 3 for both. For the value x-1, the function simplifies to x^2 - 2x.
Step-by-step explanation:
The student has asked to evaluate the function f(x) = x^2 - 1 at the values 2, -2, and x-1. To evaluate this function for a given value, we substitute the value into the function in place of x and simplify the result. Below are the evaluations for the given values:
- For x = 2: f(2) = 2^2 - 1 = 4 - 1 = 3
- For x = -2: f(-2) = (-2)^2 - 1 = 4 - 1 = 3
- For x = x - 1: f(x - 1) = (x - 1)^2 - 1 = x^2 - 2x + 1 - 1 = x^2 - 2x
In conclusion, the function values are 3 for both x = 2 and x = -2, and x^2 - 2x for x = x - 1.