Rational Functions

Site: Young Education
Cursus: Polynomial and Rational Functions
Boek: Rational Functions
Afgedrukt door: Invitado
Datum: vrijdag, 25 september 2026, 01:53

1. Understanding Rational Functions

Learning outcomes
  • I can define a rational function.
  • I can identify rational expressions.
  • I can determine domain restrictions.
  • I can identify excluded values.
  • I can simplify rational expressions.

2. Simplifying Rational Expressions

Learning outcomes
  • I can factor numerators and denominators.
  • I can simplify rational expressions correctly.
  • I can identify restrictions before simplifying.
  • I can recognize equivalent rational expressions.
  • I can verify simplified results.

3. Operations with Rational Expressions

Learning outcomes
  • I can add rational expressions.
  • I can subtract rational expressions.
  • I can multiply rational expressions.
  • I can divide rational expressions.
  • I can simplify final answers completely.

4. Graphing Rational Functions

Learning outcomes
  • I can identify vertical asymptotes.
  • I can identify horizontal and oblique asymptotes.
  • I can determine intercepts.
  • I can sketch rational function graphs.
  • I can interpret asymptotic behaviour.

5. Solving Rational Equations

Learning outcomes
  • I can solve rational equations algebraically.
  • I can identify extraneous solutions.
  • I can verify valid solutions.
  • I can solve application problems involving rational equations.
  • I can interpret solutions in context.