Graph the piecewise-defined function.
\[
f(x)=\left\{\begin{array}{rr}
3+3 x & \text { if } x< -4 \\
-2 x & \text { if }-4 \leq x \leq 5 \\
3 x & \text { if } x> 5
\end{array}\right.
\]

Step 1 ：To graph the piecewise-defined function, we need to graph each piece separately and then combine them.

Step 2 ：First, we graph the function \(3+3x\) for \(x<-4\). This is a straight line with slope 3 and y-intercept 3. However, we only graph this line for \(x<-4\).

Step 3 ：Next, we graph the function \(-2x\) for \(-4 \leq x \leq 5\). This is a straight line with slope -2 and y-intercept 0. We only graph this line between \(x=-4\) and \(x=5\), inclusive.

Step 4 ：Finally, we graph the function \(3x\) for \(x>5\). This is a straight line with slope 3 and y-intercept 0. We only graph this line for \(x>5\).

Step 5 ：Combining these three graphs gives us the graph of the piecewise-defined function. We can see that the function is continuous, as the end of one piece meets the start of the next piece.