Question

Determine the end behavior f (x)= x+1/x+3​

Answer 1

Horizontal asymptote of y=1.

Explanation:

End behavior is talking about limits as x approaches infinity and negative infinity

`\lim_(x \to \infty) (x+1)/(x+3) = 1`

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.

`\lim_(x \to -\infty) (x+1)/(x+3) = 1`

Same reasoning as the last one.

So, x+1/x+3 has a horizontal asymptote of y=1.