Suppose f(x) is a function satisfying the following:

f'(x)<0on(,2)U(3,8)

f'(x)>0on(2,3)U(8,)

1)f(x)hasalocalminimumatx=2andatx=3

2)f(x)hasalocalminimumatx=2andx=8

3)f(x)hasalocalminimumatx=3andx=8

4)f(x)hasapointofinflectiononinterval(,2)

5)f(x)haspointsofinflectiononintervals(2,3)and(3,8)

Choose the statements that best describe the graph of f(x).