Final answer:
The y-intercept of the linear function g(x) is 12, and the y-intercept of the function f(x) is 18.
The difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x) is -6.
Step-by-step explanation:
The y-intercept of a linear function is the point where the graph intersects the y-axis.
To find the y-intercept of the linear function g(x) given in the table, we look at the value of g(x) when x = 0.
In this case, g(x) = 12 when x = 0, so the y-intercept of g(x) is 12.
The y-intercept of the function f(x) = -2x + 18 can be found by setting x = 0 and solving for y.
When x = 0, we have f(0) = -2(0) + 18 = 18.
So the y-intercept of f(x) is 18.
To find the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x), we subtract the y-intercept of f(x) from the y-intercept of g(x).
In this case, the difference is 12 - 18 = -6.