All functions have the same y-intercept of
, and none has a greater y-intercept than the others based on the information provided.
To determine which function has the greatest y-intercept, we need to evaluate the y-intercept for each given function. The y-intercept of a function is the value of the function when
.
For
:
The y-intercept can be found by setting
:
So, the y-intercept for
is
.
For
:
The y-intercept can be found by setting
:
So, the y-intercept for
is
.
Since both functions have the same y-intercept of
, neither function has a greater y-intercept than the other; they are equal.
The function \( g(x) \) is not given explicitly, but if we assume it is the cosine function graphed in the image with a y-intercept at
, then it would also have a y-intercept of
, the same as the other two functions.
Therefore, all functions have the same y-intercept of
, and none has a greater y-intercept than the others based on the information provided.