Question

If f is continuous only increasing on interval [a,b] what is true?
I) Integral from a to b f(x)dx less than f(b)(b-a)
II) Integral from a to b f(x)dx greater than f(a)(b-a)
III) Integral from a to b f(x)dx=f(c)(b-a) for some number c such that a is less than c which is less than b