Suppose f is a continuous function on [2, 2] such that

f(2) = 1, f(2) = 1 .

Which of the properties below follow without further restriction on f by applying the Intermediate Value Theorem?

A. f(c) = 0 for some c in (2, 2);

B. f2(c) = 14for some c in (2, 2);

C. the graph of f(x) + x crosses the x-axison (2, 2).

1. C only

2. A only

3. B and C only

4. A and C only

5. A and B only