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Essential Maths
21. Rational Functions
21.1 What is a rational function?
What is a rational function?
What You'll Learn
Define rational functions as ratios of polynomials
Identify non-permissible values where denominators equal zero
Recognize vertical asymptotes at non-permissible values
Determine horizontal asymptotes by analyzing end behavior
Construct graphs using tables of values and asymptote analysis
Interpret how curves approach asymptotes without touching them
What You'll Practice
1
Creating tables of values to plot rational function graphs
2
Finding non-permissible values from denominator restrictions
3
Identifying vertical and horizontal asymptotes from functions
4
Analyzing left-hand and right-hand behavior as x approaches infinity
Why This Matters
Rational functions appear everywhere in advanced math and real applications, from rates and ratios to physics formulas. Understanding asymptotes and non-permissible values is essential for calculus, where you'll analyze limits and continuity of complex functions.
This Unit Includes
1 Video lesson
Skills
Rational Functions
Asymptotes
Non-permissible Values
Polynomials
Graphing
End Behavior
Domain Restrictions
