Which of the following functions has the greatest y-intercept? f(x) x y −3 −27 −2 8 −1 −1 0 0 1 1 2 8 ,g(x) = 4 sin(4x) − 3

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

f(x) has the greatest y-intercept.