Infinite Precalculus - 1.3 Increasing and decreasing intervals
[Pages:14]Precalculus
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1.3 Increasing and decreasing intervals
Approximate the intervals where each function is increasing and decreasing.
1)
f(x) 8
6
4
2
2)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
ID: 1
3)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
4)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
5)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
6)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
Worksheet by Kuta Software LLC
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7)
f(x) 8
6
4
2
8)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
9)
f(x) 8
6
4
2
10)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
11)
f(x) 8
6
4
2
12)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
13)
f(x) 8
6
4
2
14)
f(x) 8
6
4
2
-8 -6 -4 -2 -2
2 4 6 8x
-8 -6 -4 -2 -2
2 4 6 8x
-4
-4
-6
-6
-8
-8
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Worksheet by Kuta Software LLC
15)
f(x) 8
6
4
2
16)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
17)
f(x) 8
6
4
2
18)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
19)
f(x) 8
6
4
2
20)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
21)
f(x) 8
6
4
2
22)
f(x) 8
6
4
2
-8 -6 -4 -2 -2
2 4 6 8x
-8 -6 -4 -2 -2
2 4 6 8x
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
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23)
f(x) 8
6
4
2
24)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
25)
f(x) 8
6
4
2
26)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
27)
f(x) 8
6
4
2
28)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
29)
f(x) 8
6
4
2
30)
f(x) 8
6
4
2
-8 -6 -4 -2 -2
2 4 6 8x
-8 -6 -4 -2 -2
2 4 6 8x
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
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31)
f(x) 8
6
4
2
32)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
33)
f(x) 8
6
4
2
34)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
35)
f(x) 8
6
4
2
36)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
37)
f(x) 8
6
4
2
38)
f(x) 8
6
4
2
-8 -6 -4 -2 -2
2 4 6 8x
-8 -6 -4 -2 -2
2 4 6 8x
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
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39)
f(x) 8
6
4
2
40)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
41)
f(x) 8
6
4
2
42)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
43)
f(x) 8
6
4
2
44)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
45)
f(x) 8
6
4
2
46)
f(x) 8
6
4
2
-8 -6 -4 -2 -2
2 4 6 8x
-8 -6 -4 -2 -2
2 4 6 8x
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
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47)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
48)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
49)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
50)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
Worksheet by Kuta Software LLC
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Precalculus
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1.3 Increasing and decreasing intervals
ID: 1
Approximate the intervals where each function is increasing and decreasing.
1)
f(x) 8
6
4
2
2)
f(x) 8
6
4
2
-8 -6 -4 -2 -2
2 4 6 8x
-8 -6 -4 -2 -2
2 4 6 8x
-4
-4
-6
-6
-8
-8
Increasing: (-1.2, 0), (1.2, ?) Decreasing: (-?, -1.2),I(n0c,r1e.a2s)ing: (-3, -0.3) Decreasing: (-?, -3), (-0.3, ?)
3)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
Increasing: (3, ?) Decreasing: (-?, 3)
4)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
Increasing: (-?, 4) Decreasing: (4, ?)
5)
f(x) 8
6
4
2
6)
f(x) 8
6
4
2
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
-8 -6 -4 -2 -2 -4 -6 -8
2 4 6 8x
Increasing: (-4, -2.7) Decreasing: (-?, -4), (-2.7, ?)Increasing: (-?, -6), (-3.3, ?) Decreasing: (-6, -3.3)
Worksheet by Kuta Software LLC
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