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
- Lesson 1: Characteristics of Function Families
- Lesson 2: Imagineering
- Lesson 3: The Bungee Jump Simulator
- Lesson 4: Composing and Decomposing
- Lesson 5: Translating Compositions
- Lesson 6: Different Combinations
- Lesson 7: High Noon and Sunset Shadows Combined
- Lesson 8: Parametrically Defined Curves
- Lesson 9: Diving Deeper into Function Composition
Resources - Composing Functions
The following are links to resources for Composing Functions:
The following are other free resources:
- GeoGebra - Free online math tools
- Desmos - Free online graphing calculator
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