Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = = 1 x intercepts at x = 3 and x = 5 Horizontal asymptote at y = 6

Makaila Simon

Makaila Simon

Answered question

2022-09-21

Write an equation for a rational function with:
Vertical asymptotes at x = -1 and x = = 1
x intercepts at x = 3 and x = 5
Horizontal asymptote at y = 6

Answer & Explanation

baselulaox

baselulaox

Beginner2022-09-22Added 8 answers

Given x intercept x=3 and x=5
vertical asymptotes at x=-1 and x=1
Horizontal asymptote at y=6
x-intercept are obtained by making y=0 in the function integer x intercepts comes in numerator as (x-3)(x-5)
while vertical asymptotes value in Denominators
Therefore
y = f ( x ) = 6 ( x 3 ) ( x 5 ) ( x + 1 ) ( x 1 )

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