6.3 Graphing Rational Functions

Does the rational function have any discontinuities? $$y=\frac{x^2-3x-4}{x-2}$$  Select all that apply. 

Does the rational function have any discontinuities? $$y=\frac{2x+2}{x^2-1}$$ Select all that apply. 

Where are the holes in the rational function below? $$y=\frac{3x^2+15x+18}{x^2+4x-5}$$ Select all that apply.  

How many y-intercepts can a rational function have? (Select all that apply)

What is the y-intercept of the rational equation?  $$y=\frac{x-4}{2-x}$$  

What are the x-intercepts of the rational expression below.  $$y=\frac{2x^2+7x+3}{x^2+4x+2}$$   Select all that apply. 

Which of the following does not have a horizontal asymptote?

What is the horizontal asymptote of the rational equation below? $$y=\frac{3x^2+15x+18}{x^2+4x-5}$$  

What is the horizontal asymptote of the graph of rational equation below?  $$y=\frac{x-12}{x^2+2x-3}$$  

Which of the following has a slant (oblique) asymptote?

What is the equation of the slant asymptote of the rational equation below? $$y=\frac{2x^3+7x^2+3x}{x^2+4x+4}$$