The range of the function y=e−x1+[x] is

We have, y=e−x1+[x]⇒ (1 + [x])y = e–x > 0⇒ (1 + [x])y > 0⇒ y > 0 if 1 + [x] > 0 and y < 0 if 1 + [x] < 0∴ y ∈ R – {0}