Answer and explanation:
Behavior of the graph as x approaches ∞:
As x approaches ∞, the graph falls to the right (i.e., y decreases while x increases).
Behavior of the graph as x approaches − ∞:
As x approaches − ∞, the graph rises to the left (i.e., y increases while x decreases)
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For a visual reference, I attached a graph from Desmos that shows how:
- x increases and y decreases as x approaches ∞ (aka, as x increases/gets bigger towards the end of the cubic curve, since we only consider the end behavior as x approaches ∞ and −∞),
- and x decreases and y increases as x approaches − ∞ (aka, as x decreases/gets smaller).
- I also added some points from the graph to further emphasize this end behavior of x and y.