Reading the graph:

• For $x < -2$: the function has a constant value of $y = 5$ (horizontal line at $y = 5$).
• At $x = -2$: there is a solid dot at $y = 3$, so $f(-2) = 3$.
• For $x > -2$: the function has a constant value of $y = 2$ (horizontal line at $y = 2$).

The piecewise definition is:

$f(x) = \begin{cases} 5 & \text{if } x < -2 \\ 3 & \text{if } x = -2 \\ 2 & \text{if } x > -2 \end{cases}$