Candidates Test Practice Test

A continuous function $h$ on $0,3$ has critical points $x=1,2$. If $h(0)=2,h(1)=3,h(2)=1,h(3)=0$, where is the absolute maximum?

A continuous function $h$ on $-1,7$ has critical points at $x=2,5$ with $h(-1)=3,h(2)=1,h(5)=4,h(7)=2$. Where is the absolute maximum?