Question

the function ( f(x) ) is shown on the graph. if ( f(x)=0 ), what is ( x )? 0 only -6 only -2, 1, or 3 only -6, -2, 1, or 3 only

Explanation:

Step1: Recall the definition of \( f(x) = 0 \)

The solutions of \( f(x)=0 \) are the \( x \) - values where the graph of the function \( y = f(x) \) intersects the \( x \) - axis (since \( y=f(x) \) and \( y = 0 \) on the \( x \) - axis).

Step2: Identify the \( x \) - intercepts from the graph

Looking at the graph, the curve \( y = f(x) \) intersects the \( x \) - axis at \( x=-2\), \(x = 1\), and \(x = 3\).

Answer:

\(-2,1,\text{ or }3\text{ only}\)