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Kafli 4 • Föll
43
4.57
Finndu topp- eða botnpunkta fallanna.
a
f
(
x
) =
x
2
+ 3
b
g
(
x
) =
x
2
+ 3
c
h
(
x
) =
x
2
3
d
k
(
x
) =
x
2
3
4.58
Finndu topp- eða botnpunkta fallanna.
a
f
(
x
) = (
x
5)
2
b
g
(
x
) = (
x
+ 5)
2
c
h
(
x
) = (
x
5)
2
d
k
(
x
) = (
x
+ 5)
2
4.59
Finndu topp- eða botnpunkta fallanna.
a
f
(
x
) = (
x
1)
2
+ 4
b
g
(
x
) = (
x
1)
2
4
c
h
(
x
) = (
x
+ 1)
2
+ 4
d
k
(
x
) = (
x
+ 1)
2
4
4.60
Finndu topppunkt, hugsanlegan botnpunkt og skurðpunkt
við
y
-ásinn fyrir föllin.
a
f
(
x
) = (
x
+ 1)
2
2
b
f
(
x
) =
1
___
2
(
x
2)
2
c
f
(
x
) =
2
___
3
(
x
9)
2
+ 50
4.61
Teiknaðu megindrætti grafa fallanna.
a
f
(
x
) =
x
2
3
x
b
g
(
x
) =
x
2
4
c
h
(
x
) = 2
x
2
6
x
+ 1
d
k
(
x
) =
x
2
+ 2
x
1
4.62
Finndu fallstæður grafanna.
a
b
c
d
1
–1
–3 –2 –1 0
0
1 2 3
y
−ás
x
−ás
–2
–3
–4
–5
–6
–7
f
5
4
3
2
1
–1
–1 0
0
1 2
y
−ás
g
x
−ás
6
–2 –3 –4 –5
5
4
3
2
1
–1
–1 0
0
1 2 3 4
y
−ás
x
−ás
6
7
h
5
4
3
2
1
–1
–1 0
0
1 2 3 4
y
−ás
5 6
–2
7 8 9 10 11 12 13
–3
x
−ás
k