Graph the piecewise-defined function.
\[
f(x)=\left\{\begin{array}{ll}
-1-x & \text { if } x \leq 2 \\
-5+2 x & \text { if } x> 2
\end{array}\right.
\]

Step 1 ：Define the piecewise function \(f(x)\) as follows: \[f(x)=\left\{\begin{array}{ll} -1-x & \text { if } x \leq 2 \\ -5+2 x & \text { if } x>2 \end{array}\right.\]

Step 2 ：To graph this piecewise function, we need to plot two different functions on the same graph. The first function is \(-1-x\) and it is defined for all \(x\) less than or equal to 2. The second function is \(-5+2x\) and it is defined for all \(x\) greater than 2.

Step 3 ：The graph of the piecewise-defined function is as follows:

Step 4 ：

Step 5 ：The function is continuous and consists of two linear pieces. The first piece is a line with a negative slope that is defined for all \(x\) less than or equal to 2. The second piece is a line with a positive slope that is defined for all \(x\) greater than 2. The two pieces meet at the point \((2, -3)\).

Step 6 ：\(\boxed{\text{Final Answer: The graph of the piecewise-defined function is as shown above.}}\)