# ALEX Classroom Resources

ALEX Classroom Resources
Subject: Mathematics (9 - 12), Mathematics (9 - 12)
Title: Precalculus and Advanced Topics Module 3, Topic B: Rational Functions and Composition of Functions
URL: https://www.engageny.org/resource/precalculus-and-advanced-topics-module-3-topic-b-overview
Description:

In Module 3, Topic B, students explore the composition of functions in-depth and notice that a composition of a polynomial function with the function f(x) = 1/x gives functions that can be written as ratios of polynomial functions. A study of rational expressions shows that these expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression. Students apply these operations to simplify rational expressions and go on to graphing rational functions, identifying zeros and asymptotes, and analyzing end behavior.

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to Algebra I, Algebra II, and Algebra II with Trigonometry Alabama Courses of Study.

ALEX Classroom Resources: 1