4.1 Functions and Quadratics
Learn about functions and how to work with them. Then, take a deep dive into quadratics.
What is a Function?
Tables and Graphs
Domain and Range
Rigid Transformations
Vertical Stretch and Shrink
Horizontal Stretch and Shrink
Intro to Quadratics
Factored Form
Finding Roots
Intro to Complex Numbers
Intro to Polynomials
Arithmetic and Finding Roots
Symmetry and Roots in Graphs
Direct and Inverse Variation
Variation with Powers
Rational Functions and Domain
End Behavior
Problem Solving
Absolute Value
Piecewise Functions
Floor and Ceiling
Problem Solving
Course description
Understand functions as set mappings, tables, and graphs. Using these tools, learn how to work with functions and transform them and their graphs. Then, use the framework of functions to do a deep dive on quadratics. You'll explore factoring, completing the square, learn about polynomials, and eventually develop the quadratic equation.
Topics covered
- Absolute Value
- Asymptotes
- Domain and Range
- Exponents
- Factoring Polynomials
- Functions
- Function Notation
- Function Transformations
- Piecewise Functions
- Projectile Motion
- Rational Functions
- The Binomial Theorem
- The Quadratic Formula
Prerequisites and next steps
You should be comfortable with the material from Solving Equations and Understanding Graphs.
Prerequisites
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5.1 Calculus in a Nutshell
Investigate the central ideas of calculus and learn how to put them to use.
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