Finding Local Maxima and Minima from a Graph

Observe the graph of $f.$ The graph attains a local maximum at $x=1$ because it is the highest point in an open interval around $x=1.$ The local maximum is the $y$ -coordinate at $x=1,$ which is $2.$

The graph attains a local minimum at $\text{<mi>x</mi><mo>=</mo><mn>−1</mn>}$ because it is the lowest point in an open interval around $x=\mathrm{-1.}$ The local minimum is the y-coordinate at $x=\mathrm{-1},$ which is $\mathrm{-2.}$