Students will learn how to identify the domain of a rational function. They'll start with rational functions where the denominator is linear. Next, students will consider functions where the denominator is quadratic. After that, students will solve problems where the denominator is a radical expression. In any case, the problem can be solved by considering the denominator as a function, then finding its roots. Students will also learn how to find the range of a rational function by finding the domain of its inverse. Here's a video on that. This topic builds off not only the ability to solve linear and quadratic equations, but also, the understanding that division by zero is undefined.
Conclude by giving your students these challenges:
- Christmas Shopping by NRICH
- Trick or Treat by NRICH
- 2018 Math Kangaroo Levels 7-8 Problem #17 by STEM4all
- 2011 AMC 8, Problem 9
- No One Number Trains by Pierce School: Problem / Solution