Based on the known points plotted on the graph, determine what intervals the graph should be broken into. Plotted points are: (−3,0),(0,1),(2,0), & (5,0)
A
−∞→−3,−3→0,0→5,5→∞
B
−∞→−3,−3→0,0→2,2→5,5→∞
C
−∞→−3,−3→0,0→2,2→∞
D
−∞→0,0→2,2→5,5→∞
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1
Identify the plotted points on the graph: (-3, 0), (0, 1), (2, 0), and (5, 0). These points are crucial in determining the intervals.
Consider the x-values of the plotted points: -3, 0, 2, and 5. These x-values will serve as the boundaries for the intervals.
Determine the intervals based on the x-values. The intervals should cover the entire x-axis, starting from negative infinity and ending at positive infinity.
Create intervals using the x-values as boundaries: (-∞, -3), (-3, 0), (0, 2), (2, 5), and (5, ∞).
Verify that these intervals cover all the x-values of the plotted points and ensure that each interval is continuous and non-overlapping.