Centre for Distance Learning and Innovation

Outcomes

In this lesson you will learn

how to find the equations of the horizontal asymptotes for certain rational functions

By the end of this section students will be able to:

describe the relationships between arithmetic operations and operations on rational algebraic expressions and equations
analyze relations, functions, and their graphs
use tables and graphs as tools to interpret expressions
demonstrate an understanding for asymptotic behaviour
analyze and solve polynomial, rational, irrational, absolute value, and trigonometric equations
explore and describe the connections between continuity, limits and functions
demonstrate an intuitive understanding of the concept of limit

To be successful in this lesson, it would be helpful to know the following:

an understanding of the concept of a horizontal asymptote
what happens to the value of , where n is an integer greater than o, as x becomes arbitrarily large
the concept of limit
the term "leading coefficient" (for question #15)
how to determine vertical asymptotes of a function