Description
In this course, you will :
- Explore a variety of function types by experimenting and playing with their graphs.
- Learn how the domains and ranges of functions depend on each other — and on the function types.
- How can a function wind up stretched and transposed up, down, left, or right on the plane?
- What happens when the input becomes the output and the output becomes the input?
- Explore the art of factoring polynomials from new, graphical perspectives.
- Learn how to tackle these tricky horizontal and slant asymptote cases!
- Explore what variation looks like when larger powers are involved.
Syllabus :
1. Function Fundamentals
- Function Notation
- Playing With Functions
- Domain and Range
- So Many Functions
2. Function notation, domain, range, and a plethora of graph types.
- Shifts and Stretches
- Symmetry
- Inverse Functions
- Composition
3. Powers and Radicals
- Powers
- Zero and Negative Exponents
- Fractional Exponents
- Radical Conjugates
4. Polynomials
- Playing With Polynomials
- Polynomial Graph Basics
- Polynomial Symmetries
- Projectile Motion
5. Factoring Polynomials
- Playing With Factored Form
- Factoring Quadratic Polynomials
- More Factoring
- The Quadratic Formula
6. Rational Functions
- Direct and Inverse Variation
- Direct and Inverse Variation With Powers
- Asymptotic Behavior
7. Piecewise Functions
- Absolute Value Introduction
- Modeling Absolute Value Scenarios
- Absolute Value Problem Solving
- Piecewise Functions