Considering the asymptote concept, we have that:
- The domain of the function is:

- The vertical asymptotes of the function are of x = -8 and x = 8.
- The horizontal asymptote is of y = 0.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
For this problem, the function is given by:

The vertical asymptotes are the zeroes of the denominator, hence:
x² - 64 = 0 -> x² = 64 -> x = -8 or x = 8.
Hence the domain is:

The horizontal asymptote is the limit of f(x) as x goes to infinity, hence:

More can be learned about asymptotes at brainly.com/question/16948935
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