Interval of Increase/Decrease, ARC Practice - WPMU DEV

Algebra I: Unit 3C Lesson 5

Name___________________________________ ID: 1

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Interval of Increase/Decrease, ARC Practice

Date________________ Period____

Determine the interval of increase and the interval of decrease for each graph

1)

2)

y

y

7

6

-8 -6 -4 -2

2 4 6x

5

-2

4 -4

3 -6

2

1

-8

-8 -7 -6 -5 -4 -3 -2 -1

1x

-10

-1

-12 -2

-3

-14

3)

y 3

2

1

-1 -1 -2 -3 -4 -5

1 2 3 4 5 6 7x

4)

y 1

-7 -6 -5 -4 -3 -2 -1

1x

-1

-2

-3

-4

-5

-6

-7

5)

y 2

1

-1 -1 -2 -3 -4

1 2 3 4 5 6x

6)

y 6 5 4 3 2 1

-4 -3 -2 -1 -1

1 2x

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Worksheet by Kuta Software LLC

For each problem, find the open intervals where the function is increasing and decreasing. 7) y = x2 - 2x - 4

8) y = 2x2 + 8x + 8

9) y = x2 - 8x + 16

10) y = - x2 - 2x + 2

11) y = x2 + 8 x + 10

12) y = -2x2 + 4x

Determine the average rate of change over the given interval

13)

y 3

2

1

-7 -6 -5 -4 -3 -2 -1

1x

-1

-2

-3

-4

-5

14)

y 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7

1 2x

Worksheet by Kuta Software LLC

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15)

y 1

-7 -6 -5 -4 -3 -2 -1

1x

-1

-2

-3

-4

-5

-6

16)

y 1

-7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9

-10

1 2 3x

For each problem, find the average rate of change of the function over the given interval.

17) f (x) = - x2 + 2 x + 1; [1, 4]

18) f (x) = 2 x2 + 2; [0, 1]

19) f (x) = x2 + 2 x - 2; [-3, -1]

20) f (x) = - x2 - 1; [0, 1]

21) f (x) = - x2 - x - 1; [-2, 1]

22) f (x) = 2 x2 - 2 x + 1; [-1, 2]

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Worksheet by Kuta Software LLC

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