The function f:-∞,-1→0,e5 defined by fx=ex3-3x+2 is

fx=ex3-3x+2Letgx=x3-3x+2;g'x=3x2-3=x2-1     ≥0forx∈-∞,-1Therefore, fx is increasing function. Hence fx is one-one.Now, the rang e of  fx is 0,e4.But co-domain is0,e5Hence, fx is an into function.