In Topic B, students explore 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.
Precalculus and Advanced Topics Module 3, Topic B, Overview
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Common Core Learning Standards
|A.APR.7||(+) Understand that rational expressions form a system analogous to the rational numbers, closed...|
|F.IF.7.d||(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are...|
|F.IF.9||Compare properties of two functions each represented in a different way (algebraically, graphically...|