Exclude Every Denominator Zero
The domain of a rational expression excludes inputs making its denominator zero.
About 25 minutes, plus any extended practice
Open lesson 1Algebra2: Rational Functions and Domain
Rational expressions divide polynomials, so denominator zeros are excluded from their domains. Factoring can reveal cancellation or help solve equations, but it does not erase the original restrictions or turn inverse variation into linear change.
Before you begin
- Factor a difference of squares; solve simple equations; interpret ratios and nonzero divisors.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Cancel Factors while Keeping the Hole
A shared polynomial factor can be canceled only where it is nonzero.
About 25 minutes, plus any extended practice
Open lesson 2Solve after Recording a Nonzero Variable Restriction
Clearing a variable denominator requires excluding its zero before multiplying.
About 25 minutes, plus any extended practice
Open lesson 3Use a Constant Product for Inverse Variation
Inverse variation has the form y=k/x.
About 25 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- OpenStax mathematical topic reference: topic reference — Algebra2: Rational Functions and Domain
These references informed the topic selection. They do not certify complete standards alignment.