Outcomes
In this lesson you will learn
- apply the skills you have acquired to visualize and sketch the graphs of rational functions
By the end of this section students will be able to:
- describe the relationship between arithmetic operations and operations on rational algebraic expressions and equations
- determine the equations of polynomial and rational functions
- demonstrate an understanding for slope functions and their connection to differentiation
- analyze relations, functions, and their graphs
- use tables and graphs as tools to interpret expressions
- demonstrate an understanding for asymptotic behaviour
- model real-world phenomena using polynomial functions and rational functions
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- how to find vertical, horizontal and oblique asymptotes of rational functions
- how to determine zeros and points of discontinuity of rational functions
- limits
- how to use the Factor Theorem in conjunction with synthetic substitution to factor polynomials
- how a sign graph works