Lesson 6: 2.6 Rational Functions and Asymptotes
Duration of Days: 2
Lesson Objective
Find the domains of rational functions.
Find vertical and horizontal asymptotes of graphs of rational functions.
Use rational functions to model and solve real life problems
How do you find the domain and asymptotes of a rational function?
rational functions, asymptote, vertical and horzontal,
domain
HSA-IF.C.7d: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
Use Khan Academy
Many real life examples that exhibit asymptotic behavior can be modeled by a rational functions.
Determine the cost of supplying recycling bins to the populations of a rural township
Some students incorrectly thing that the curves on opposite sides of a vertical asymptotes head in opposite directions. Show counterexamples.
Have more advance students find x-intercepts that are not found by factoring, but in stead use the quadratic formula.
Use common resources
PreCalc with Limits