Suppose that the function h is defined for all real numbers

Suppose that the function h is defined, for all real numbers, as follows. h(x) = {1/2 x + 1 if x lessthanorequalto -1 -(x - 1)^2 + 3 if -1

Solution

Given function is

h(x) = x/2 + 1             if   x <= -1

        = - (x-1)^2 + 3    if -1 < x < 2

        = -x/4 + 1           if   x >= 2

Then   h(-4) = -4/2 + 1 = -2 + 1 = -1

            h(-1) = -1/2 + 1 = ½

            h(0) = -(0-1)^2 + 3 = 2