The y - intercept of f(x) is at (0,2).
Let's solve for the y-intercept of g(x). SInce y - intercepts has x = 0, then we are going to substitute the x variable in g(x) with 0.
Therefore, the y-intercept of the g(x) function is at (0, -3).
Comparing the two y-intercepts (0, 2) and (0, -3), it is obvious that 2 is greater than -3. Thus, function f(x) has the greater y-intercept.
The answer would be Option 3.