## Precalculus (6th Edition) Blitzer

The required solution is: the relative maximum of $y=f\left( x \right)$ is at $x=-2$ and there is no local minimum.
From the graph it can be seen that the function is increasing from $\left( -4,-2 \right)$ and then it decreases. Where the graph’s value is higher or lower than the values of its neighborhood, then the coordinates are called the relative maximum or minimum. Also, from the graph, one can say that there is a relative maximum at $x=-2$ and there is no local minimum. Thus, the relative maximum is at $x=-2$ and there is no local minimum.