ndicate which intervals are increasing, decreasing, or constant.
-18-12-661218-6-4-2246xy(6)(2)(3)(5)(4)(7)(1)(8)(9)
x y graph
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.
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Question content area right
Part 1
Which intervals, if any, are increasing? Select all that apply.
A.
(5)
B.
left parenthesis 7 right parenthesis
(7)
C.
(3)
D.
left parenthesis 1 right parenthesis
(1)
E.
left parenthesis 9 right parenthesis
(9)
F.
left parenthesis 8 right parenthesis
(8)
G.
(4)
H.
left parenthesis 6 right parenthesis
(6)
I.
left parenthesis 2 right parenthesis
(2)
J.
None of them
The increasing intervals are:
A. (5)
B. (7)
D. (1)
E. (9)
F. (8)
ndicate which intervals are increasing, decreasing, or constant.
-18-12-661218-6-4-2246xy(6)(2)(3)(5)(4)(7)(1)(8)(9)
x y graph
.
.
.
Question content area right
Part 1
Which intervals, if any, are increasing? Select all that apply.
A.
(5)
B.
left parenthesis 7 right parenthesis
(7)
C.
(3)
D.
left parenthesis 1 right parenthesis
(1)
E.
left parenthesis 9 right parenthesis
(9)
F.
left parenthesis 8 right parenthesis
(8)
G.
(4)
H.
left parenthesis 6 right parenthesis
(6)
I.
left parenthesis 2 right parenthesis
(2)
J.
None of them
The increasing intervals are:
A. (5)
B. (7)
D. (1)
E. (9)
F. (8)
Which intervals, if any, are decreasing? Select all that apply.
A.left parenthesis 3 right parenthesis
B.left parenthesis 9 right parenthesis
C.
(5)
D.left parenthesis 2 right parenthesis
E.
(4)
F.
(6)
G.
(1)
H.left parenthesis 8 right parenthesis
I.
(7)
J.
None of them
The decreasing intervals are:
B. (9)
H. (8)
I. (7)
To determine whether intervals are increasing, decreasing, or constant, we need to examine the values of y at different x values.
Looking at the given list of x and y values: (6, 12), (12, 18), (-6, -12), (-4, -6), (-2, -4), (2, 6), (3, 12), (5, 10), (4, 16), (7, 14), (1, -6), (8, 24), (9, 18)
To determine if an interval is increasing or decreasing, we need to observe the trend of the y-values as the x-values increase. If the y-values increase, the interval is increasing. If the y-values decrease, the interval is decreasing. If the y-values remain the same, the interval is constant.
Let's analyze each option:
A. (5): The y-value remains the same between x=5 and x=6. Thus, this interval is constant.
B. (7): There is no data point for x=7. We cannot determine the trend for this interval.
C. (3): The y-value increases from x=2 to x=3, indicating an increasing interval.
D. (1): The y-value decreases from x=1 to x=2, indicating a decreasing interval.
E. (9): The y-value remains the same between x=9 and x=12. Thus, this interval is constant.
F. (8): The y-value increases from x=7 to x=8, indicating an increasing interval.
G. (4): The y-value decreases from x=3 to x=4, indicating a decreasing interval.
H. (6): The y-value increases from x=5 to x=6, indicating an increasing interval.
I. (2): The y-value increases from x=1 to x=2, indicating an increasing interval.
J. None of them: This option seems incorrect since we have identified at least two intervals that are increasing.
Based on the analysis above, the correct answer choices for intervals that are increasing are: C. (3), F. (8), H. (6), and I. (2).