Question

Please help

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, limit as x approaches infinity g(x)= infinity, limit as x approaches negative infinity g(x)= negative infinity.

Answer 1

g'(1) =g'(3) =0 means g get max or minimum at 1 and 3