Vertical Asymtotess Horizontal Asymtotess Oblique Asymtotess

Vertical Asymtotes(s):

Horizontal Asymtotes(s):

Oblique Asymtotes(s):

Hole(s):

Domain:

x intercept(s):

y intercept(s):

Using arrow notation answer:

x->3^- F(x)->:

x->3⁺ F(x)->:

x->? F(x)->:

x->-? F(x)->:

GivenR(r) = 2r2 + 51+4 212 + 51 + 4 Given R(r)- findthe following: 3 T

R(x)= (2x²+5x+4)/(x-3)

Vertical asymptote

To find VA we have to set denominator to zero

x-3=0

x=3

Horizontal asymptote

Here the degree of numerator is greater than the degree of denominator. In this case there is no horizontal asymptote.

Oblique asymptote

To find oblique asymptote we need to do the division and on division we get

y=2x+11

Hole

There is no hole

domain

Its a rational expression and in a rational expression the denominator cant be zero

And at x=3, denominator becomes zero

Therefore domain is (-infinity,3)U(3,infinity)