Question

If f(x) =1/2x^2, then what does f(1) + f(-1) equal

Answer 1

The sum of f(1) + f(-1) for the function f(x) = 1/2x^2 is 1, as both f(1) and f(-1) equal 1/2 when evaluated and added together.

Step-by-step explanation:

To find f(1) + f(-1) for the function f(x) = ½x^2, we need to evaluate the function at x = 1 and x = -1 and then sum the results.

First, let's find f(1):
f(1) = ½(1)^2 = ½(1) = ½

Now, let's find f(-1):
f(-1) = ½(-1)^2 = ½(1) = ½

Adding these two values together, we get:
f(1) + f(-1) = ½ + ½ = 1

Therefore, the sum f(1) + f(-1) equals 1.