Verified Answer :

HomertheGenius

This means that we will have the domain:
x ∈ R \ { 1 }
An example:   f ( x ) = x³ / x - 1  ( no horizontal asymptote and vertical asymptote at x = 1 )

carlosego

For this case, the first thing we are going to do is define variables.

We have then:

x: independent variable

y: dependent variable

We write the rational function with vertical asintotal.

We have then:

\(y =\frac{1}{x-1}
\)

Since the denominator must be nonzero, then we have:

\(x-1 = 0

x = 1\)

Therefore, we have a vertical asymptote at x = 1

Answer:

an example of a rational function that has no horizontal asymptote and a vertical asymptote at
x = 1 is:

\(y =\frac{1}{x-1}\)

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