1. The problem asks to fill in the sign table for intervals defined by points $-5$, $0$, $2$, and $4$ on the number line.
2. The sign table shows the sign of a function or expression in each interval between these points.
3. Given signs are: negative to the left of $-5$, positive from $-5$ to $0$, positive from $0$ to $2$, and positive from $2$ to $4$, and positive to the right of $4$.
4. This means the function changes sign at $-5$ from negative to positive and remains positive through $0$, $2$, and $4$.
5. The sign table is:
| Interval | Sign |
|----------------|------|
| $(-\infty, -5)$ | $-$ |
| $(-5, 0)$ | $+$ |
| $(0, 2)$ | $+$ |
| $(2, 4)$ | $+$ |
| $(4, \infty)$ | $+$ |
6. The blue curve above the line indicates the function is positive in the intervals after $-5$.
Final answer: The sign table is negative before $-5$ and positive on all intervals after $-5$.
Sign Table 643128
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