The end behavior of the function is described by the following option:
f(x) -> 0 when x -> -∞ and f(x) -> -∞ when x -> ∞.
<h3>How to obtain the end behavior of a function?</h3>
The end behavior of a function is given by the limits of the function as x goes to infinity.
On the graph, these limits are found looking at the behavior at the left end and at the right end of the graph, as follows:
From the graph, these limits are given as follows:
- Left end: x -> -∞ -> 0, as the function tends to the origin.
- Right end: x -> ∞ -> negative infinity, as the function moves down.
Hence the correct statement is given by the third option, as the other options give the wrong limits.
More can be learned about the end behavior of a function at brainly.com/question/28884735
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