Question

determine the absolute minimum value of the function $f$.

Explanation:

Step1: Understand absolute minimum

The absolute minimum of a function is the lowest \( y \)-value the function attains over its entire domain. We analyze the graph of \( f \).

Step2: Identify the lowest point

Looking at the graph, we find the point with the smallest \( y \)-coordinate. The graph has a minimum point where \( y = -6 \), and this is the lowest value the function reaches (since the left and right ends of the graph go upwards, and this is the deepest trough).

Answer:

\(-6\)