The two given functions are
x: -3 -2 -1 0 1 2
f(x): -27 8 -1 0 1 8
g(x) = 4 sin(4x) - 3
The y-intercept occurs when x=0.
Therefore,
f(x) has a y-intercept of 0 (from given tabular data).
g(x) has a y-intercept of
g(0) = 4*sin(0) - 3
= 0 - 3
= -3
Answer:
f(x) has the greatest y-intercept.