Question
Compare the functions f(x) and g(x) shown in the table. Which function has a greater y-intercept?
x | f (x) | g (x)
-2 | 0 | 0
-1 | 1.25 | 0.5
0 | 2.5 | 1.5
1 | 5 | 4.5
2 | 10 | 13.5
x | f (x) | g (x)
-2 | 0 | 0
-1 | 1.25 | 0.5
0 | 2.5 | 1.5
1 | 5 | 4.5
2 | 10 | 13.5
Answers
GPT-4o mini
To compare the y-intercepts of the functions \( f(x) \) and \( g(x) \), we need to focus on the values of these functions when \( x = 0 \).
From the table, we have:
- For \( f(0) = 2.5 \)
- For \( g(0) = 1.5 \)
The y-intercept is the value of the function at \( x = 0 \).
Since \( 2.5 > 1.5 \), we conclude that the function \( f(x) \) has a greater y-intercept than \( g(x) \).
From the table, we have:
- For \( f(0) = 2.5 \)
- For \( g(0) = 1.5 \)
The y-intercept is the value of the function at \( x = 0 \).
Since \( 2.5 > 1.5 \), we conclude that the function \( f(x) \) has a greater y-intercept than \( g(x) \).