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Mathematics
Mathematics
Problem
Define
h
:
[
0
,
4
)
→
R
h:[0,4)\to\mathbb R
h
:
[
0
,
4
)
→
R
by
h
(
x
)
=
⌊
x
⌋
−
1
h(x)=\lfloor x\rfloor-1
h
(
x
)
=
⌊
x
⌋
−
1
. (i) List all distinct values taken by
h
(
x
)
h(x)
h
(
x
)
on the interval
[
0
,
4
)
[0,4)
[
0
,
4
)
. (ii) Express the range of
h
h
h
in set-builder form. (iii) Determine
h
(
[
0
,
4
)
)
∩
[
−
2
,
1
]
h([0,4))\cap[-2,1]
h
([
0
,
4
))
∩
[
−
2
,
1
]
.
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