Over what interval is the function in this graph decreasing?A.–5 ≤ x ≤ 5B.–3 ≤ x ≤ 2C.–5 ≤ x ≤ –3D.–2 ≤ x ≤ 3SUBMITarrow_backPREVIOUS
Question
Over what interval is the function in this graph decreasing?
A. –5 ≤ x ≤ 5
B. –3 ≤ x ≤ 2
C. –5 ≤ x ≤ –3
D. –2 ≤ x ≤ 3
SUBMIT
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Solution
To determine the interval over which the function is decreasing, I will analyze the given options based on the provided graph.
Analyzing the Options
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Option A: –5 ≤ x ≤ 5
- Check the graph for this entire interval.
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Option B: –3 ≤ x ≤ 2
- Check the graph specifically from x = -3 to x = 2.
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Option C: –5 ≤ x ≤ –3
- Examine the graph from x = -5 to x = -3.
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Option D: –2 ≤ x ≤ 3
- Look at the graph from x = -2 to x = 3.
Determining the Decreasing Interval
- Identify regions where the slope of the graph is negative (i.e., the function is going down as x increases).
- Compare each option with the observed intervals of decrease.
Final Answer
Choose the interval that corresponds to the regions on the graph where the function is decreasing. The correct option will depend on the visual data from the graph, which is not available in this format. Please provide the specific observations concerning the graph to finalize the best answer.
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