Write an equation for a rational function with: Vertical asymptotes at x = 5 and...
porfiru1nm
Answered
2022-12-31
Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -4 x intercepts at x = -6 and x = 4 Horizontal asymptote at y = 9?
Answer & Explanation
funjisnickenskdg
Expert
2023-01-01Added 3 answers
(1) Given that there are vertical asymptotes at x=5 and x=-4, the factors in the denominator are (x-5) and (x+4). (2) As we have x-intercepts at x=-6 and x=4, we have (x+6) and (x-4) in numerator as factors (3) As we have horizontal asymptote at y=9, the highest power of numerator and denominator are same and coefficient of numerator is 9 times that of denominator Hence, rational function is or