Asked by Max
What is the vertical and horizontal asymptotes of
..
3x
_________
x^2-3x-10
..
3x
_________
x^2-3x-10
Answers
Answered by
Reiny
vertical asymptotes occur when the denominator is zero, so
x^2 - 3x - 10 = 0
(x-5)(x+2) = 0
x = 5 or x = -2 are vertical asymtotes
let x ---> ∞
so 3x/(x^2 - 3x-10) ---> 0
the horizontal asymptote is y = 0 , which is the x-axis
x^2 - 3x - 10 = 0
(x-5)(x+2) = 0
x = 5 or x = -2 are vertical asymtotes
let x ---> ∞
so 3x/(x^2 - 3x-10) ---> 0
the horizontal asymptote is y = 0 , which is the x-axis