The provided image seems to represent a function $y = \left\lfloor \frac{x}{p} \right\rfloor$, where $\left\lfloor \cdot \right\rfloor$ represents the floor function, with specific intervals and boundaries for $x$ in different ranges. Here’s how we can analyze and proceed:

1. The Function Definition:

   • The function $y = \left\lfloor \frac{x}{p} \right\rfloor$ indicates that $y$ is the largest integer less than or equal to $\frac{x}{p}$.
   • The image shows different intervals for $x$, each specifying where the output $y$ remains constant.

2. Intervals of $x$: