(Solved): Find the absolute extrema of each function, if they exist, over the indicated interval. Also indica ...

Find the absolute extrema of each function, if they exist, over the indicated interval. Also indicate the \( x \)-value at which each extremum occurs. When no interval is specified, use the real numbers, \( (-\infty, \infty) \) 40. \( f(x)=50+25 e^{-0.4 x} ; \quad[0, \infty) \)