Which of the following statements best expresses the Intermediate Value Theorem (IVT)?
a) If f is continuous on [a,b] and d is any number between f(a) and f(b), then there exists c in [a,b] such that f(c)=d.
b) If f is continuous on [a,b] and d is any number between f(a) and f(b), then there exists c in (a,b) such that f(c)=d.
c) If f is differentiable on (a,b), then for any number d between f(a) and f(b), there exists c in (a,b) such that f(c)=d.
d) If f is continuous on [a,b], then there exists c in (a,b) such that f(c)=2f(a)+f(b).