essay

Question

Sketch the graph of a function for which
g(0) = g(2) = g(4) = 0, g'(1) = g'(3) = 0, g'(0) = g'(4) = 1,

g'(2) = –1, limx?8 g(x) = 8, and limx?–8 g(x) = –8.