Graph the function. \[ f(x)=\left\{\begin{array}{ll} -3, & \text { if } x \geq 1 \\ -4-x, & \text { if } x<1 \end{array}\right. \]

Step 1 ：The problem is asking to graph a piecewise function. The function is defined differently for values of x that are greater than or equal to 1, and for values of x that are less than 1.

Step 2 ：Create two arrays for x: one for values of x that are greater than or equal to 1, and one for values of x that are less than 1.

Step 3 ：Create two corresponding arrays for y using the function definitions.

Step 4 ：Plot the function using the arrays for x and y.

Step 5 ：\(\boxed{\text{The graph of the function is a horizontal line at y = -3 for x >= 1 and a line with a negative slope for x < 1. The two parts of the graph meet at the point (1, -3). The graph is a visual representation of the piecewise function.}}\)