SOLUTION: Write the equation of a possible rational function given the following information. Leave in factored form.
Vertical asymptote x = 2, discontinuous point (−3, −4/5), x - int
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Question 1206908: Write the equation of a possible rational function given the following information. Leave in factored form.
Vertical asymptote x = 2, discontinuous point (−3, −4/5), x - intercept at x = −5 and horizontal asymptote at y = 2.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a rational function :
where and are both polynomials
given:
Vertical asymptote : value of that makes denominator equal to zero , so
- intercept at =>numerator is
so far
horizontal asymptote at , the highest power of numerator and denominator are same and coefficient of numerator is times that of denominator
discontinuous point (, )
check given point
=> true
=>for , denominator will be , so add to both, numerator and denominator, and your equation is:
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