I am having difficulty with the following :

Sketch the graph, identifying any relative or absolute extrema and points of inflection, of a continuous function f(x) on the interval [0,8] which satisfies these conditions:

f(0)=5, f(2)=2, f(4)=4, f(6)=1, f(8)=3

f'(x)<0 on (0,2)U(4,6) and f'(x)>0 on (2,4)U(6,8)

f'(2) does not exist and f"(x)<0 on (0,2)U(2,5) and f"(x)>0 on (5,8)

im not even sure how to begin?