True or False _____ When f `(x) = 0 then the function has a

True or False
_____ When f '(x) = 0 then the function has a horizontal tangent.
_____ When f '(x) = 0 the function has a min or a max.
_____ If a function is continuous then it is differentiable.
_____ If f ''(x) = 0 then the function has an inflection point there.
_____ If f '(x) does not exist then the function has a vertical asymptote.