Graphing Piecewise and Step Functions

If we sum up the information, we can conclude that the capacity of the theater is $250$ students. This means that the drama club should do $1$ performance for each group of $250$ students. Let's write a pattern if $x$ is the number of students and $y=f(x)$ is the number of performances.

The function we wrote pairs every number in each interval with the single value. Therefore, it is a step function. $$\begin{array}{c}f(x)=\{\begin{array}{l}1,\text{ for }0<x\le 250\\ 2,\text{ for }250<x\le 500\\ 3,\text{ for }500<x\le 750\\ 4,\text{ for }750<x\le 1000\\ 5,\text{ for }1000<x\le 1250\end{array}\end{array}$$ Each piece of its graph will be horizontal line that is missing its left endpoint. We will show the left endpoints by open points and the right endpoints by a closed points. Let's graph it!