Question

question
find all horizontal asymptotes of the following function.
$f(x) = \frac{x^2 - 11x + 24}{2x^2 - 16x}$

Explanation:

Step1: Identify degrees of numerator/denominator

Numerator degree = 2, denominator degree = 2 (equal)

Step2: Take ratio of leading coefficients

Leading coefficient of numerator: 1; denominator: 2. Ratio: $\frac{1}{2}$

Step3: Conclusion

Horizontal asymptote is $y = \frac{1}{2}$

Answer:

$y = \frac{1}{2}$