Graph this f(x) with these properties without using a calculator?

Question

f(0)=4
f(6)=0
f(x)<0 if x<2 or x>4
f '(2) does not exist
f ' (4)=0
f ' (x)>0 if 2 f " (x)<0 if x can not equal 2

Answer 1

Something wrong here.
f(x)<0 if x<2 or x>4 is contradictory to f(0)=4.

Please check that you have stated problem correctly.

Answer 2

3.