Based on the known points plotted on the graph, determine what intervals the graph should be broken into.  
Plotted points are: $\left(-3,0\right),$$\left(0,1\right),\left(2,0\right),$ & $\left(5,0\right)$

• A. $-\infty\rightarrow-3,-3\rightarrow0,0\rightarrow5,5\rightarrow\infty$
• B. $-\infty\rightarrow-3,-3\rightarrow0,0\rightarrow2,2\rightarrow5,5\rightarrow\infty$
• C. $-\infty\rightarrow-3,-3\rightarrow0,0\rightarrow2,2\rightarrow\infty$
• D. $-\infty\rightarrow0,0\rightarrow2,2\rightarrow5,5\rightarrow\infty$

Answer: (B)

Verified step by step guidance

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.
2. Consider the x-values of the plotted points: -3, 0, 2, and 5. These x-values will serve as the boundaries for the intervals.
3. 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.
4. Create intervals using the x-values as boundaries: (-∞, -3), (-3, 0), (0, 2), (2, 5), and (5, ∞).
5. Verify that these intervals cover all the x-values of the plotted points and ensure that each interval is continuous and non-overlapping.