Question

the given function $f(x)$ is defined on the interval $-9,9$ and represented by the graph below. find the $x$-value(s) at which the minimum value of $f(x)$ occurs.

Explanation:

Step1: Analyze the graph

The minimum value of a function on a graph is the lowest \(y -\) value. We look for the point(s) on the graph of \(y = f(x)\) where the \(y -\) coordinate is the smallest.

Step2: Locate the minimum - value point

By observing the graph, we can see that the lowest point (in terms of \(y -\) value) occurs at \(x = 0\) (since the \(y -\) value at \(x = 0\) is the smallest among all the points on the graph of \(y=f(x)\) within the interval \([-9,9]\)).

Answer:

\(0\)