Answer:
False
Explanation:
You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.
Asymptote
Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.
The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.
An example with the asymptote y = 0 is attached.
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