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