Applications and Function Analysis

Site: Young Education
Cours: Polynomial and Rational Functions
Livre: Applications and Function Analysis
Imprimé par: Guest user
Date: vendredi, 25 septembre 2026, 01:01

1. Comparing Polynomial and Rational Functions

Learning outcomes
  • I can compare the characteristics of polynomial and rational functions.
  • I can distinguish between their graphs.
  • I can compare domains and ranges.
  • I can identify similarities and differences.
  • I can choose appropriate models for different situations.

2. Function Features and Behaviour

Learning outcomes
  • I can analyze intercepts, extrema, and asymptotes.
  • I can identify intervals of increase and decrease.
  • I can describe end behaviour.
  • I can determine where functions are positive and negative.
  • I can interpret graphical features.

3. Function Transformations Review

Learning outcomes
  • I can apply transformations to polynomial functions.
  • I can apply transformations to rational functions.
  • I can predict graph changes from equations.
  • I can write transformed function equations.
  • I can sketch transformed graphs accurately.

4. Real-World Modelling

Learning outcomes
  • I can select appropriate polynomial or rational models.
  • I can create mathematical models from data.
  • I can evaluate the accuracy of models.
  • I can interpret model parameters.
  • I can solve real-world problems using function models.

5. Comprehensive Problem Solving

Learning outcomes
  • I can solve multi-step problems involving polynomial and rational functions.
  • I can select appropriate algebraic techniques.
  • I can justify my mathematical reasoning.
  • I can communicate solutions clearly.
  • I can connect concepts from throughout the course.