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
Prerequisites
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