The graph of the function f(x) on the coordinate plane is attached
How to determine graph the function on a coordinate plane
From the question, we have the following parameters that can be used in our computation:

The given function above is a piecewise function
To plot the above function, we plot each subfunction in the respective domains
Using the above as a guide, we have the following:
We plot f(x) = -x - 7 in the domain -6 ≤ x < -1
We plot f(x) = x - 5 in the domain -1 < x < 4
The graph of the function is attached