# Rational Functions

### Instructions

- The first videos below explain the concepts in this section.
- This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.

### Concepts

- The parent functions \(y=\frac{1}{x}\) and \(y=\frac{1}{x^2}\) of rational functions and their properties including the graph, domain, range, vertical asymptotes, and end behavior
- How to determine the horizontal asymptotes and end behavior of rational functions by comparing the degree of the polynomial in the numerator with the degree of the polynomial in the denominator

### Exercises

**Directions:**You should attempt to solve the problems first and then watch the video to see the solution.

- Find the horizontal asymptotes for the following rational functions:
- \(y=f(x)=\dfrac{5-6x^4}{8x^7-19x^2}\)
- \(y=f(x)=\dfrac{14+3x^9-10x^5}{15x^9-7x^3+32}\)