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 -2
-1 2 2
0 4 6
1 6 10
2 8 14


Responses

f(x)
f(x)

g(x)

Answer 1

To determine which function has a greater y-intercept, we need to look at the values of \( f(x) \) and \( g(x) \) when \( x = 0 \), as the y-intercept is defined as the value of the function at this point.

From the table:

- For \( f(x) \) when \( x = 0 \): \( f(0) = 4 \)
- For \( g(x) \) when \( x = 0 \): \( g(0) = 6 \)

Since \( 4 < 6 \), it shows that \( g(x) \) has a greater y-intercept.

Therefore, the answer is:

**g(x)**