URGENT CALCULUS QUESTION: about limits and intermediate value/extreme value theorems

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

I. g(x) = 1 at least once

II. lim x--> 3.5 g(x) = g(3.5)

III. lim x--> 3- g(x) = lim x--> 3+ g(x)

A. I only

B. II only

C. I and II only

D. I, II, and III

E. None of these

Thank you!

If 900 is continuous for all real numbers and g(3) = -1, 9(4) = 2, which of the following are necessarily true? I. g(x) = 1 at least once II. III\" g(x)=g(3.5) 1915 111. jg(x)= 1mm) 0 A. | only 0 B. ll only 0 C. land llonly O D. l,ll,andlll O E. None of these