How do you find all the asymptotes for function #f(x) = (13x) / (x+34)#?

1 Answer
Dec 6, 2015

Answer:

Vertical asymptote: #x= -34#
Horizontal asymptote: #y= 13#

Explanation:

1) Horizontal asymptote

Set the denominator equal to 0, and solve for #x#
#x+ 34= 0#
#" "-34" " " -34#

=================
#x= -34#

2) Horizontal asymptote
Is the ratio of the leading term of the numerator and denominator when the degree are the same
#y= (13x)/x#

#y= 13#

3) The oblique asymptote doesn't exist, because we have a horizontal asymptote