Graphics Reference
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Answers
2 (i)
R
0
, (ii)
R
, (iii) [
1, 1], (iv) (0, 1], (v)
R
.
3 (i)
R
0
, (ii) [
1, 1], (iii)
x
1, (iv)
R
0
, (v)
R
, (vi)
R
2
.
4 2. (ii) and (v). 3. (i), (iv), (v) and (vi).
5
2. (i)
R
0
R
0
, (ii)
R R
, (iii) [
,
]
[
1, 1],
(iv)
R
0
(0, 1], (v)
R R
.
3. (i)
R
0
R
0
, (ii) [0, 1]
[0, 1],
(iii) [1,
)
[0,
). (iv)
R
0
R
0
, (v)
R R
,
.
6 Points on thegraph of f
(vi)
R
2
R
4
havetheform ( b , f
( b )), which if b f ( a )
havetheform ( f ( a ), a ). See Fig. 6.1.
7 (i) See Fig. 6.7. (iii) and (iv) are identical.
See Fig. 6.2.
8 A
(
1, 1], f ( A )
0, 1
. See Fig. 6.3.
9 A R 1 , f ( A ) 1, 0, 1 . See Fig. 6.4.
10 f (
R
)
0, 1
. See Fig. 6.5.
R Z
11 f (
Z
)
1
, f (
0
.
13 0.
14
1.
15 a
1
1/ n , b
1
1/ n .
16 If ( a
)
, taking
,0
a
1 eventually, so [ a
]
0 eventually.
exp
log
Figure6.1
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