Question

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? graph going through negative 1, negative 1 and negative 4, negative 1 x g(x) 4 9 6 13 8 17 (1 point) The function g(x) has a higher y-intercept. The function f(x) has a higher y-intercept. They both have the same y-intercept. The relationship between y-intercepts cannot be determined.

Answer 1

The function g(x) has a higher y-intercept.

Explanation:

First function f(x):

Slope = (-1, - (-1) / -4 - -1) = 0

So its equation is y = -1.

The y-intercept is (0, -1).

Second function g(x):

Slope = (13-9)/ (6-4) = 2.

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line, so we have:

y - 9 = 2(x - 4)

y = 2x - 8 + 9

y = 2x + 1.

So the y-intercept is (0, 1).