Question

Which of the following statements is true about the functions f(x) and g(x)? B- The y-intercept of the function f(x) is less than the y-intercept of the function g(x) . B- The y-intercept of the function f(x) is greater than the y-intercept of the function g(x). C- The y-intercept of the function f(x) is equal to the y-intercept of the function g(x). D-The y-intercepts cannot be determined.

Answer 1

Without the specific equations or graphs for functions f(x) and g(x), it's impossible to determine which y-intercept is greater or if they are equal, so the correct answer is D - The y-intercepts cannot be determined.

Step-by-step explanation:

To determine which statement is true about the functions f(x) and g(x), it's essential to compare their y-intercepts. The y-intercept is indicated by the b value in the equation y = mx + b, where m represents the slope and b the y-intercept. Without the specific equations or graphs of f(x) and g(x), however, it is impossible to determine which y-intercept is greater or if they are equal. Thus, the only statement we can guarantee as true without further information is D - The y-intercepts cannot be determined.

Given the information provided, it's clear that without specific values for f(x) and g(x), we can't compare their y-intercepts. Neither the directions of their slopes nor the values of the functions at a certain point suffice to deduce the y-intercepts.

Answer 2

The y-intercept of a function is the point where the function crosses the y axis (0,y)

So, for f(x)

y intercept = 3

g(x)

y-intercept= 4 (aprox)

So, the correct option is:

The y-intercept of the function f(x) is less than the y-intercept of the function g(x).