To use the intermediate value theorem, we need which of the following (select all that apply)?
O some value c where f'(c)=0
O some value c where f(c)=0
O f(x) is differentiable
O some value a where f(a)<0
O some value b where f’(a)>0
O f(x) is continuous
O some value a where f'(a)<0
O some value b where f(a)>0