Question

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?

X: 1,3,5
——————
G(X): 0,4,8

A)The function f(x) has a higher y-intercept
B)The function gx has a higher y intercept
C) They both have the same y intercept
D) The relationship between y intercepts cannot be determined

Answer 1

Answer: D) relationship between y intercepts cannot be determined

The graph of f(x) is a vertical line. It is completely parallel to the y axis, so it never crosses the y axis. We need the graph to cross the y axis somewhere in order to form a y intercept. Therefore f(x) does not have a y intercept. So we cannot compare y intercepts if f(x) doesn't have one at all.