Because the 3 graphs mentioned in the problem were not provided, the rule to locate horizontal asymptotes given a rational function is included below
For a rational function
[tex]h(x)=\frac{f(x)}{g(x)}[/tex]
where f(x) and g(x) are polynomial functions themselves, the existence of horizontal function is determined by the conditions below
[tex]\begin{gathered} f(x)=ax^m+\cdots\to degree\text{ m} \\ g(x)=bx^n+\cdots\to\text{ degre}e\text{ n} \\ mn\Rightarrow\text{ no horizontal asymptote} \end{gathered}[/tex]
Then, h(x) will have horizontal asymptotes when the degree of g(x) is greater or equal than the degree of f(x)
