Step 1 :Define the function in Python.
Step 2 :Plot the function using matplotlib.
Step 3 :Evaluate the function at the given points.
Step 4 :The function is a combination of a linear function, a quadratic function, and another linear function, each defined for different intervals of x.
Step 5 :The function evaluations are as follows:
Step 6 :\(f(0) = \boxed{1}\)
Step 7 :\(f(-4) = \boxed{-11}\)
Step 8 :\(f(5) = \boxed{0}\)