Learning Resources

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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