# Visualizing Functions with Mapping Diagrams: MEI 2019

- Author:
- Martin Flashman

Visualizing Functions with Mapping Diagrams: from Linear and Quadratic to Exponential and Trigonometric
Using recent work with GeoGebra on mapping diagrams, an alternative to graphs, I will provide visualizations that can help students understand functions.
Participants will use mapping diagrams to visualize the solution of equations based on linear and quadratic functions. Diagrams for simple polynomial as well as exponential and trigonometric functions will be considered as well as the relation of quadratic and cubic equations to their complex number solutions.
Links: https://flashman.neocities.org/Presentations/MEI/MEI.MD.LINKS.html

## Table of Contents

### Introduction

### Linear Functions

### Quadratic Functions

### Compositions and Solving Eq'ns: Visualization of Linear and Quadratic

### Exponential and Logarithmic Functions

### Trigonometric Functions

### Complex Quadratic and Cubic Functions/Equations

- Complex Plane
- Experimenting with Complex Arithmetic
- Complex Addition
- Complex Multiplication
- Complex 1/z
- Table and Mapping Diagram for A Complex Linear Function
- Complex Linear Mapping Diagram II: f(z) = Az
- Complex Linear Mapping Diagrams I (Circles)
- Complex Linear Mapping Diagram III (lines)
- Complex Mapping Diagrams for Quadratic Function and Solving Real Quadratic Equations
- Mapping Diagrams for Complex Quadratic Functions & Equations
- Mapping Diagram Solving A Quadratic Equation(Real and Complex)
- Complex Variable Function Mapping Diagrams and Solving Real Cubic Equations