Step 1 :A constant function is a function whose output value is the same for every input value. So, for a constant function, the value of f(x) does not depend on x. Therefore, the correct function should be a constant, not involving x.
Step 2 :Looking at the options, only option C, $f(x)=-8$, is a constant function. This is because the output value is -8 regardless of the input value x.
Step 3 :Final Answer: The correct function for the given description is \(\boxed{f(x)=-8}\).