f(x)= x^2 - x - 56 / x^2 + 2x - 35
- Vertical Asymtote
As x → −, f(x) → |
As x → +, f(x) →
- Any hole in graph
- Horizontal asymtote
As x → −, f(x) → |
As x → +, f(x) →
f(x) = ( x^2 - x - 56 ) / ( x^2 + 2x - 35 )
factoring the denominator
x^2 + 2x - 35 = 0
( x + 7 ) ( x- 5 ) = 0
vertical asymptote is x = 5
as x--> -infinity , f(x) ---> + infinity
as x -- + infinity , f(x) ---> + infinity
hole = (-7,0)
horizontal asymptote is y =1
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