Unit 1.3: Rational Functions
Completion requirements
Unit 1
Functions
Introduction
Lesson 1.3: Rational Functions
In Lesson 1.3, you will
- explore the relationship between the roots of a rational function and the «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math»-intercepts of its graph,
- approximate solutions to rational equations using technology,
- learn to recognize a rational function and its graph,
- determine the domain and range of a rational function,
- determine the non-permissible values of a rational function,
- learn about points of discontinuity,
- learn how vertical asymptotes relate to rational functions and their graphs, and
- analyze the behaviour of a function near a non-permissible value.
Coming into this Lesson, you should be familiar with
- building a table of values for a function,
- graphing functions using a table of values or technology,
- factoring polynomials,
- factoring trinomials,
- factoring a difference of squares, and
- determining «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math»- and «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«/mstyle»«/math»-intercepts from the equation of a function.