Answer:
Horizontal asymptote of y=1.
Step-by-step explanation:
End behavior is talking about limits as x approaches infinity and negative infinity
[tex]\lim_{x \to \infty} \frac{x+1}{x+3} = 1[/tex]
because substituting large numbers in for x (like a million, billion, or trillion) would give basically a large number over basically the same large number, and anything over itself = 1.
[tex]\lim_{x \to -\infty} \frac{x+1}{x+3} = 1[/tex]
Same reasoning as the last one.
So, x+1/x+3 has a horizontal asymptote of y=1.