Learning Resources

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Outcomes

In this lesson you will learn

  • to graph the reciprocals of given quadratic functions
  • specific properties about the relationships between the graphs of functions and the graphs of their reciprocals

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

  • model real-world phenomena using polynomial functions and rational functions
  • model problem situations with combinations and compositions of functions
  • analyze relations, functions, and their graphs
  • use tables and graphs as tools to interpret expressions
  • investigate and interpret combinations and compositions of functions
  • demonstrate an understanding for asymptotic behaviour
  • analyze and solve polynomial, rational, irrational, absolute value, and trigonometric equations

Prerequisites

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

  • the concept of reciprocal
  • the behaviour of the graph y = x and its reciprocal
  • composition of functions
  • how to recognize and write the equations of horizontal and vertical asymptotes
  • domain and range
  • intervals of increase and decrease
  • limits
  • transformations
  • the difference between odd and even functions