Do all rational functions have vertical asymptotes? Why or why not? If not, give an example of a rational function that does not have a vertical asymp

pancha3

pancha3

Answered question

2021-05-22

Do all rational functions have vertical asymptotes? Why or why not? If not, give an example of a rational function that does not have a vertical asymptote.

Answer & Explanation

Nathanael Webber

Nathanael Webber

Skilled2021-05-23Added 117 answers

All rational functions MUST have at least 1 vertical asymptote. The reason for this is that the polynomial in the denominator of the rational function when equated with 0, yields at least 1 value of x on which the denominator becomes 0 and the function approaches + and

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