Sketch the graph of a function g for which

Sketch the graph of a function g for which

g(0) = g(2) = g(4) = 0,
g’(1) = g’(3) = 0,
g’(0) = g’(4) = 1,
g’(2) = -1 lim g(x) = oo, and lim g(x) = -x
x–>x x–>-x