Define by . (i) List all distinct values taken by on the interval . (ii) Express the…
MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions
Problem
Define h:[0,4)→R by h(x)=⌊x⌋−1.
(i) List all distinct values taken by h(x) on the interval [0,4).
(ii) Express the range of h in set-builder form.
(iii) Determine h([0,4))∩[−2,1].