The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formula

L(x) = 8(x - 2) + 1.

Which of the following statements are true? Select all that apply.
A. The functions are approximately equal on the interval 1.9=x=2.1.
B. The functions have the same y-intercept.
C. The slope of the line equals g'(0).
D. The functions are approximately equal on the interval 0.5=x<\=1.0.
E. The graphs intersect at the point (2,1).
F. The slope of the line equals g'(2).
G. None of the above are true.