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:
[tex] y =\frac{1}{x-1}
[/tex]
Since the denominator must be nonzero, then we have:
[tex] x-1 = 0
x = 1 [/tex]
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:
[tex] y =\frac{1}{x-1} [/tex]
