Respuesta :
The asymptote can be identified by looking for gaps in the domain for vertical asymptotes and for others.
What is an asymptote?
It is defined as the straight lines that go to infinity along with the curves but do not meet the curve.
For vertical asymptotes:
By searching for voids in the domain, vertical asymptotes can be defined. You cannot enter zero into the equation f(x) = 1/x. This is due to the inability to divide by 0. providing a vertical asymptote for us.
For horizontal asymptotes:
By exploiting the gaps in the domain to identify the range values that are impossible, horizontal asymptotes can be determined. It is impossible to obtain a value for y = 0 in the same equation as the one above. As a result, there is a horizontal asymptote.
For oblique asymptotes:
Finding oblique asymptotes might be challenging. To do this, you would need a polynomial of a higher degree in the numerator than in the denomination.
Thus, the asymptote can be identified by looking for gaps in the domain for vertical asymptotes and for others.
Learn more about the asymptote here:
https://brainly.com/question/4084552
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