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).
+36916 f(x) = g(x+1) - g(x-1)
f(1/2) = g (1 1/2) - g (-1/2)
= 1 - -1 = 2
f(-1/2) = g(-1/2 + 1) - g(-1/2-1)
= g(1/2) - g(-1 1/2)
= 1 - -1 = 2
f(1/2) + f(-1/2) = 2 + 2 = 4
