Question

Find the horizontal asymptote (Show your work)

Answer 1

`y = 0`

Explanation:

To find the given asymptote of the given function,
`f(x) = (x^2 - 2x + 1)/(x^3 + x - 7)`, first, compare the degrees of the lead term of the polynomial of the numerator and that of the denominator.

The numerator has a 2nd degree polynomial (x²).

The denominator has a 3rd degree polynomial (x³).

The polynomial of the numerator has a lower degree compared to the denominator, therefore, the horizontal asymptote is y = 0.