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 (from the graph's visible and implied behavior).

Step2: Analyze the graph

Looking at the graph of \( f \), we identify the lowest point (the minimum \( y \)-coordinate). The graph has a trough (lowest point) with a \( y \)-value of \( -5 \) (visually, the lowest point on the curve is at \( y = -5 \)).

Answer:

\( -5 \)