Answer:
The function f(x) = 3x^2 +2x+1/x^2+1 is continuous.
Explanation:
The function is continuous since the denominator x^2+1 has no real roots.
This also means that the function f(x) = 3x^2 +2x+1/x^2+1 has no vertical asymptotes.
The Graph of the function is attached. There is one horizontal asymptote can also be identified at y=3.