Question

Find the horizontal asymptote (Show your work)

Answer 1

Answer:

$y = 0$

Step-by-step explanation:

To find the given asymptote of the given function, $f(x) = \frac{x^2 - 2x + 1}{x^3 + x - 7}$, 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.