Find the relative maximum and relative minimum values, if any, of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)\[f(x)=\frac{1}{2} e^{2 x-4}-e^{x+4}\]Relative maximum value(s):Relative minimum value(s):Complete the following parts.(a) The domain of the function \( f \) is .(Enter your answer using interval notation.)(b) To determine the relative maximum and relative minimum values of the function \( f \), we need the critical numbers of(c) To find these critical numbers, we need to find ---Select---\(\vee \)\(=\)(d) These critical numbers are as follows. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)\[x=\]