# Calculus

posted by
**Mishaka**
.

If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?

I. g(x) = 1 at least once

II. lim g(x) = g(3.5) as x aproaches 3.5.

III. lim g(x) as x approaches 3 from the left = lim g(x) as x approaches from the right

A. I only

B. II only

C. I and II only

D. I, II, and III

E. None of these.

I want to say that the answer should be D. I, II, and III since the function is continuous for all real numbers. Would this be correct?