Answer: Choice D. g(x) = -x/3
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Explanation:
The orange graph shows the left side going forward upward. We can say it rises to the left. Similarly, the graph of y = -x/3 does the same.
Also, the orange graph shows the arrow pointing to the right and slightly down. It indicates it goes on forever downward as x gets larger. We can say it falls to the right. The end behavior or y = -x/3 follows the same idea.
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In short, the orange graph shows the end behavior having these two characteristics:
- It rises to the left
- It falls to the right
and the same can be said about the end behavior of y = -x/3
