Question

Find the horizontal asymptote ( if any ) of the graph of each function.?

Answer 1

No horizontal asymptote exists for this function.

Explanation:

The degree (largest exponent) of the polynomial in the numerator is bigger than the degree of the polynomial in the denominator.

`p(x)=x^2+3`, a second degree polynomial, is of higher degree than `q(x)=x-1`, a first degree polynomial.

Therefore, there will be no horizontal asymptote, but a slant (oblique) asymptote.