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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