Here is the graph of the piecewise function $f(x)$ based on the provided conditions. The graph shows the three segments of the function:

1. A horizontal line at $y = 1$ for $x \leq -1$.
2. A line segment from $(-1, -1)$ to $(2, -5)$.
3. A horizontal line at $y = -3$ for $x > 2$.

Please let me know if you need any more details or have any questions.

Follow-up Questions:

1. What are the values of $f(x)$ at the boundary points $x = -1$ and $x = 2$?
2. How would the graph change if the condition $x > 2$ changed to $x \geq 2$?
3. What is the domain and range of the given piecewise function?
4. How can we find the slope of the line segment for $-1 < x \leq 2$?
5. What is the significance of open and closed dots in a graph of a piecewise function?

Tip:

When graphing piecewise functions, always carefully check the domain of each piece and use open or closed dots to denote whether a point is included in the segment.