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
(1 point)
Responses
f(x)
f of x
g(x)
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
(1 point)
Responses
f(x)
f of x
g(x)
Answers
GPT-4o mini
To compare the y-intercepts of the functions \( f(x) \) and \( g(x) \) shown in the table, we need to look at the values of these functions when \( x = 0 \), since the y-intercept is defined as the value of a function at that point.
From the table:
- For \( f(0) \), the value is \( 2.5 \).
- For \( g(0) \), the value is \( 1.5 \).
Since \( 2.5 > 1.5 \), we conclude that the function \( f(x) \) has a greater y-intercept.
Therefore, the answer is:
**f(x)**
From the table:
- For \( f(0) \), the value is \( 2.5 \).
- For \( g(0) \), the value is \( 1.5 \).
Since \( 2.5 > 1.5 \), we conclude that the function \( f(x) \) has a greater y-intercept.
Therefore, the answer is:
**f(x)**