To write the equation of the piecewise step function shown in the graph, let's analyze it carefully:

Observations:

1. The graph has horizontal segments at fixed $y$-values over specific $x$-intervals.
2. The graph is "stepwise" with open circles at the right endpoints and closed circles at the left endpoints, indicating the interval is left-closed and right-open.
3. The graph changes value at each integer $x$-value.

Function Behavior:

• At $x \in [-2, -1)$, $y = 3$
• At $x \in [-1, 0)$, $y = 2$
• At $x \in [0, 1)$, $y = 1$
• At $x \in [1, 2)$, $y = 0$

Piecewise Function:

The equation for the piecewise step function $y$ is: