Finding Absolute Maxima and Minima from a Graph

Observe the graph of $f.$ The graph attains an absolute maximum in two locations, $x=\mathrm{-2}$ and $x=2,$ because at these locations, the graph attains its highest point on the domain of the function. The absolute maximum is the y-coordinate at $x=\mathrm{-2}$ and $x=2,$ which is $16.$

The graph attains an absolute minimum at $x=3,$ because it is the lowest point on the domain of the function’s graph. The absolute minimum is the y-coordinate at $x=3,$ which is $\mathrm{-10.}$