Considering the given table, we have that:
- The function has a relative maximum when x is near 3.
- As x approaches positive infinity, the value of the function approaches negative infinity.
When a function has a relative maximum?
A function has a relative maximum when it changes from increasing to decreasing.
Looking at the given table, it happens when x is near 3.
Also, looking at the table, for x > 3 the function is decreasing, hence as x approaches positive infinity, the value of the function approaches negative infinity.
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