alg 2

Define g(x) as follows: \( g(x)= \begin{cases} -1, & \text{if } x < 0,\\ 0, & \text{if } x = 0, \\ 1, & \text{if } x > 0. \\ \end{cases}\)

Let f(x) = g(x+1) - g(x-1). Compute f(1/2) + f(-1/2).