SOLUTION: Write the equation of a rational function that has:
- real zeros when x = 1 and 2
- a removable discontinuity when x = 3
- a vertical asymptote when x = 4
- a horizontal as
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-> SOLUTION: Write the equation of a rational function that has:
- real zeros when x = 1 and 2
- a removable discontinuity when x = 3
- a vertical asymptote when x = 4
- a horizontal as
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Question 1168760: Write the equation of a rational function that has:
- real zeros when x = 1 and 2
- a removable discontinuity when x = 3
- a vertical asymptote when x = 4
- a horizontal asymptote at y = 3 Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! needs (x-3)/(x-3) for the discontinuity.
(x-1)(x-2) in the numerator for the roots
(x-4) in the denominator for the asymptote
3 in the numerator and another term with x in the denominator so that the power of the numerator and denominator are both the same to give the asymptote of 3. I used (x-4), since it did not affect the roots or the hole.
3(x-1)(x-2)(x-3)/(x-3)(x-4)^2
