How do you graph #y=(9x+1)/(3x-2)# using asymptotes, intercepts, end behavior?

1 Answer
Apr 12, 2018

Answer:

Horizontal Asymptote :# y=3#
Vertical Asymptote: #x=2/3#

Explanation:

You can Horizontal asymptote by making denominator of the rational function to zero
#3x-2=0#
#x=2/3#

You can find Vertical asymptote by finding the ratio of leading coefficient in the numerator to leading coefficient of the denominator
#y=9/3=3#

Y-intercept can be found by making #x=0#
#(0,-1/2)#

X-intercept can be found by making numerator =0
# 9x+1=0 #
#x=-1/9#
#(-1/9,0)#

graph{y=(9x+1)/(3x-2) [-8.36, 11.64, -3.12, 6.88]}