Asked by K
Determine all x-intercepts, vertical asymptotes, horizontal asymptotes, and removable discontinuities of f (x)=(x^2-x-6)/(x^3-4x).
Answers
Answered by
Steve
recall that vertical asymptotes occur when the denominator is zero and the numerator is not.
Removable discontinuities are where the fraction is 0/0
Horizontal asymptotes are what happens when x gets huge.
f(x) =
(x-3)(x+2)
--------------
x^2 (x-4)
get it now? If not, where do things get creepy?
Removable discontinuities are where the fraction is 0/0
Horizontal asymptotes are what happens when x gets huge.
f(x) =
(x-3)(x+2)
--------------
x^2 (x-4)
get it now? If not, where do things get creepy?