Centre for Distance Learning and Innovation

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

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