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Precalculus - Unit Seven

Composing Functions


According to Galileo, "mathematics is the language with which God wrote the Universe.” Math is about relationships--the interaction between quantities, variables, and change. Math is about patterns. Math is about logic. One of the most fundamental mathematical concepts that embodies pattern, logic, and relationship is the function. You have modeled real relationships with many functions--linear, exponential, quadratic, radical, trigonometric, and now rational. The return on invested money, Galileo's very own projected path of a cannonball, the decay of a radioactive substance over time, oscillations of a pendulum--all of these are function relationships!

Click on a link to jump ahead to the following sections:

  • Lessons
  • Other Resources


Enter the Matrix

Lessons

  • Lesson 1: Characteristics of Function Families
    • 7.1 Investigation - Function Family Reunion
    • 7.1 Practice - Function Families - Practice

  • Lesson 2: Imagineering
    • 7.2 Complete lesson - Imagineering

  • Lesson 3: The Bungee Jump Simulator
    • 7.3 Complete lesson - The Bungee Jump Simulator

  • Lesson 4: Composing and Decomposing
    • 7.4 Complete lesson - Composing and Decomposing

  • Lesson 5: Translating Compositions
    • 7.5 Complete lesson - Translating My Composition

  • Lesson 6: Different Combinations
    • 7.6 Complete lesson - Different Combinations

  • Lesson 7: High Noon and Sunset Shadows Combined
    • 7.7 Complete lesson - High Noon and Sunset Shadows

  • Lesson 8: Parametrically Defined Curves
    • 7.8 Complete lesson - Parametric Curves

  • Lesson 9: Diving Deeper into Function Composition
    • 7.9 Investigation - Geometric Transformations/li>
    • 7.9 Practice - Function Composition - Practice







Enter the Matrix

Resources - Composing Functions

The following are links to resources for Composing Functions:

  • Entire Unit - Coming Soon




The following are other free resources:

  • GeoGebra - Free online math tools

  • Desmos - Free online graphing calculator







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