Learning Resources

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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