Graphing Rational Function...1

[nycmathguy]

Section 2.6
Question 18

Part (a)

Let R = all real numbers.

Domain = R except for x = 3.

Part (b)

No x-intercepts.

The y-intercept is y = -1/3.

Part (c)

Vertical Asymptotes: x = 3
Top degree < bottom degree.
So, the horizontal asymptote is the line y = -1/3.

Part (d)

Desmos graph below to confirm my sketch by hand.

 

[MathLover1]

Vertical asymptote is the line x=3
Horizontal asymptote is the line y=0

 

[nycmathguy]

Vertical asymptote is the line x=3
Horizontal asymptote is the line y=0

Is my graph wrong?