Question

the given function f(x) is defined on the interval −9, 9 and represented by the graph below. find the absolute minimum value of f(x).

Explanation:

Step1: Identify the lowest - point on the graph

The absolute minimum of a function on an interval is the lowest \(y\) - value of the function on that interval. By observing the graph of \(y = f(x)\) on the interval \([-9,9]\), we look for the point with the smallest \(y\) - coordinate.

Step2: Determine the \(y\) - value of the lowest point

The lowest point on the graph of \(y = f(x)\) on the interval \([-9,9]\) has a \(y\) - coordinate of \(-9\).

Answer:

\(-9\)