Here's the graph of the function $f(x) = \left\lfloor x + 4 \right\rfloor$ on the interval $[-5, 2)$. The function jumps at integer values of $x$, and the floor function steps down to the nearest integer at each discontinuity.

Would you like any further details or have any questions?

Here are five related questions:

1. What happens to $f(x)$ when $x = 2$?
2. How would the graph change if $f(x) = \lceil x + 4 \rceil$ (the ceiling function)?
3. What is the difference between the floor and ceiling functions?
4. How does the function behave for negative values of $x$?
5. How would the function change if the interval were extended to $[0, 5)$?

Tip: The floor function always "rounds down" to the nearest integer.