SOLUTION: Write the equation of the rational function with vertical asymptotes at x = 2 and x = 1, a zero at x = 5, and a horizontal asymptote at y = 0.
If possible, write again with a ho
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If possible, write again with a ho
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Question 714315: Write the equation of the rational function with vertical asymptotes at x = 2 and x = 1, a zero at x = 5, and a horizontal asymptote at y = 0.
If possible, write again with a hole at x = -3 Answer by solver91311(24713) (Show Source):
In order to have a vertical asymptote at the denominator polynomial must have a factor of . In order to have a vertical asymptote at , the denomiator polynomial must have a factor of . In order for the function to have a zero at , the numerator must have a factor of , so:
You can multiply the denominator binomials yourself. Since the degree of the denominator polynomial is greater than the degree of the numerator polynomial, there is a horizontal asymptote at .
In order for there to be a hole at -3, both the denominator and numerator polynomials must have a factor of , so:
The degree of the denominator is still greater than the degree of the numerator, so you still have a horizontal asymptote of . Multiplying the binomials to expand the polynomials in your numerator and denominator is left as an exercise for you.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
