13. (a)
Since we require
2
x
$
0, the domain is (
2‘
, 0].
(b)
[0,
‘
)
(c)
[
2
10, 3] by [
2
1, 2]
(d)
None
14. (a)
Since we require
x
0, the domain is
(
2‘
, 0)
<
(0,
‘
).
(b)
Note that
}
1
x
}
can assume any value except 0, so 1
1
}
1
x
}
can assume any value except 1.
The range is (
2‘
, 1)
<
(1,
‘
).
(c)
[
2
4, 4] by [
2
4, 4]
(d)
None
15. (a)
Since we require 4
2
x
2
$
0, the domain is [
2
2, 2].
(b)
Since 4
2
x
2
will be between 0 and 4, inclusive (for
x
in the domain), its square root is between 0 and
2, inclusive. The range is [0, 2].
(c)
[
2
4.7, 4.7] by [
2
3.1, 3.1]
(d)
Symmetric about the
y
axis (even)
16. (a)
This function is equivalent to
y
5
ˇ
3
x
2
w
, so its domain is
all real numbers.
(b)
[0,
‘
)
(c)
[
2
2, 2] by [
2
1, 2]
(d)
Symmetric about the
y
axis (even)
17. (a)
Since we require
x
2
0, the domain is
(
2‘
, 0)
<
(0,
‘
)
(b)
Since
}
x
1
2
}
.
0 for all
x
, the range is (1,
‘
).
(c)
[
2
4, 4] by [
2
1, 5]
(d)
Symmetric about the
y
axis (even)
18. (a)
This function is equivalent to
y
5
ˇ
x
3
w
, so its domain is
[0,
‘
).
(b)
[0,
‘
)
(c)
[
2
2, 5] by [
2
2, 8]
(d)
None
19.
Even, since the function is an even power of
x
.
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 Spring '08
 GERMAN
 Continuous function, Complex number, Even and odd functions

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