Question

can any one help me in this Exercises
Find any horizontal and vertical asymptotes and any holes that may exist for each rational function

y = 2 / 3+2x

Answer 1

you need the graph?

Answer 2

yes

Answer 3

3+2x=0 , \[ x \neq-\frac{3}{2}\]
vertical asymptotes:x= -3/2
degree domain and number difference than no horizontal asymptotes , no holes
\[x-intercept :

0= \frac{2}{3+2x}= 0*(3+2x) =2\]
x -intercept = o or none
Find : y - intercept\[y=\frac{2}{3+(2*0)}= \frac{2}{3}\]

Answer 4

asymptotes are the x axis and x=-1.5