Creating a graph by given max and min?

The problem says sketch a graph that is continuous on [1,5]


- The absolute min at 2, absolute max at 3, local min at 4.





My question is how do i actually do this problem. I dont get how i am supposed to sketch a graph by the given info. Is it possible without a calculator.Creating a graph by given max and min?
You can, for instance,


connect the points:





(1,2)


(2,1)


(3,4)


(4,2)


(5,3)