Domain of Rational Functions
Instructions
- This page includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
- When you are done, you can use the graph to pick another section or use the buttons to go to the next section.
Learning Objectives
- The domain of rational functions
- How to find any holes and vertical asymptotes of a rational function
Exercises
1.
- \((-\infty,-2)\cup(-2,\infty)\)
- \((-\infty,-5)\cup(-5,\infty)\)
2.
Domain: \((-\infty,-1)\cup(-1,4)\cup(4,\infty)\)
3.
Hole when \(x=-1\)
Vertical Asymptote: \(x=4\)
Vertical Asymptote: \(x=4\)
4.
Domain: \((-\infty,-1)\cup(-1,0)\cup (0,\infty)\)
Hole when \(x=0\)
Vertical Asymptote: \(x=-1\)
Hole when \(x=0\)
Vertical Asymptote: \(x=-1\)