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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