Evaluating g(f(2)) using the given points for functions f and g results in g(f(2)) = 1. Therefore, the correct choice is E. 1.
To evaluate g(f(2)), first find f(2) using the function f and then plug the result into the function g.
1. From the points given for f:
f(2) is the y-coordinate when x = 2, which is -2.
2. Now, plug f(2) = -2 into the function g:
g(-2) is the y-coordinate when x = -2, which is 1.
So, g(f(2)) = g(-2) = 1.
The correct answer is E. 1.