Final answer:
The instantaneous rate of change of the function with respect to x at x = -2 is -4.0.
Step-by-step explanation:
The instantaneous rate of change of a function f with respect to x at a specific point x = a can be found by taking the derivative of the function and evaluating it at that point. In this case, we need to find the instantaneous rate of change of f with respect to x at x = -2. Let's assume that the function f is given by f(x) = -4.0x. The derivative of f(x) with respect to x is given by f'(x) = -4.0. So, the instantaneous rate of change of f with respect to x at x = -2 is f'(-2) = -4.0.