32. (a)
[
2
4, 4] by [
2
2, 3]
(b)
(
2‘
,
‘
) or all real numbers
(c)
[0,
‘
)
33. (a)
[
2
3.7, 5.7] by [
2
4, 9]
(b)
(
2‘
,
‘
) or all real numbers
(c)
(
2‘
,
‘
) or all real numbers
34. (a)
[
2
2.35, 2.35] by [
2
1, 3]
(b)
(
2‘
,
‘
) or all real numbers
(c)
[0,
‘
)
35.
Because if the vertical line test holds, then for each
x
coordinate, there is at most one
y
coordinate giving a
point on the curve. This
y
coordinate would correspond to
the value assigned to the
x
coordinate. Since there is only
one
y
coordinate, the assignment would be unique.
36.
If the curve is not
y
5
0, there must be a point (
x
,
y
) on the
curve where
y
0. That would mean that (
x
,
y
) and (
x
,
2
y
)
are two different points on the curve and it is not the graph
of a function, since it fails the vertical line test.
37.
No
38.
Yes
39.
Yes
40.
No
41.
Line through (0, 0) and (1, 1):
y
5
x
Line through (1, 1) and (2, 0):
y
5 2
x
1
2
f
(
x
)
5
h
42.
f
(
x
)
5
h
43.
Line through (0, 2) and (2, 0):
y
5 2
x
1
2
Line through (2, 1) and (5, 0):
m
5
}
0
5
2
2
1
2
}
5
}
2
3
1
}
5 2
}
1
3
}
,
so
y
5 2
}
1
3
}
(
x
2
2)
1
1
5 2
}
1
3
}
x
1
}
5
3
}
f
(
x
)
5
h
44.
Line through (
2
1, 0) and (0,
2
3):
m
5
}
0
2
2
3
(
2
2
0
1)
}
5
}
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 Spring '08
 GERMAN
 Real Numbers, ASCII, Emoticon, ASCII art, Graph of a function, Internet slang

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