# Why so serious?

Calculus Level 4

A cubic polynomial $$f(x)$$ vanishes at $$x=2$$ i.e $$f(2)=0$$ and has a relative minimum/maximum at $$x=-1$$ and $$x=1/3$$ respectively. If

$\int _{ -1 }^{ 1 }{ f(x)dx } = \frac { 14 }{ 3 },$

find $$\lfloor f(-3) \rfloor$$ .

×