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^2(c) = 1/4 for some c in (-2, 2)

B.- f(c) = 0 for some c in (-2, 2)

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

The answers available are:

1.- all of them

2.- none of them

3.- B only

4.- A only

5.- B and C only

6.- C only

7.- A and C only

8.- A and B only.