Question

x | f(x)
-2 | 20
-1 | 0
0 | -6
1 | -4
2 | 0
3 | 0
which is an x-intercept of the continuous function in the table?
○ (-1, 0)
○ (0, -6)
○ (-6, 0)
○ (0, -1)

Explanation:

Step1: Recall x-intercept definition

An x-intercept is a point where \(f(x)=0\), with coordinates \((x,0)\).

Step2: Check table for \(f(x)=0\)

From the table, when \(x=-1\), \(f(x)=0\); when \(x=2\), \(f(x)=0\); when \(x=3\), \(f(x)=0\).

Step3: Match with options

Among the options, only \((-1,0)\) is an x-intercept.

Answer:

(-1, 0)