Q:

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?f(x) = x + 4 x g(x)βˆ’1 | 81 | 02 | βˆ’4A) The function f(x) has a higher y-intercept.B) The function g(x) has a higher y-intercept.C) They both have the same y-intercept.D) The relationship between y-intercepts cannot be determined.

Accepted Solution

A:
Answer:D) The relationship between y-intercepts cannot be determined.Step-by-step explanation:We have been given two different functions f(x) and g(x). Now we need to find about what can be determined about their y-intercepts. Then match with the correct choice from the given choices:A) The function f(x) has a higher y-intercept.B) The function g(x) has a higher y-intercept.C) They both have the same y-intercept.D) The relationship between y-intercepts cannot be determined.We know that y-intercept is the y of function value when x=0.In the table of g(x), we don't see any point that has x=0So we can't find the y-intercept for g(x)Hence correct choice is :D) The relationship between y-intercepts cannot be determined.