Question

Nancy compares the y-intercept of the graph of the functionf(x)=−2x+18 to the y-intercept of the linear function g(x) , given in the table. x g(x) -7 -6 -5 0 -3 6 -1 12 The difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x) is Response area.

Answer 1

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.