Fun with Functions

Fun with Functions

Fun with Functions — Items 50 — Introduction to Functions: Exploring Input-Output Relationships、Piecewise Functions by Dr. Doug Davis, 3D、Fun with Functions and Relations

Items: 50

Contents

Introduction to Functions: Exploring Input-Output Relationships

Introduction to Functions: Exploring Input-Output Relationships

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Piecewise Functions by Dr. Doug Davis, 3D

Piecewise Functions by Dr. Doug Davis, 3D

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Fun with Functions and Relations

Fun with Functions and Relations

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Function Addition Demonstration by Dr. Doug Davis, 3D

Function Addition Demonstration by Dr. Doug Davis, 3D

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Function Transformation Exploration

Function Transformation Exploration

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Dynamic Visualization of Composite Functions

Dynamic Visualization of Composite Functions

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Inverse Function Graphing and Verification

Inverse Function Graphing and Verification

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Trip to the Big Game: Average vs. Instantaneous Velocity

Trip to the Big Game: Average vs. Instantaneous Velocity

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Average Rate of Change

Average Rate of Change

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Exploring Limits

Exploring Limits

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Sandwich Theorem Illustration

Sandwich Theorem Illustration

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Formal Limit Definition Demonstration

Formal Limit Definition Demonstration

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Formal Continuity of Functions

Formal Continuity of Functions

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Intermediate Value Theorem

Intermediate Value Theorem

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Line Slope Demonstration

Line Slope Demonstration

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Lines in a Plane

Lines in a Plane

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Slope of a Curve by Dr. Doug Davis, 3D

Slope of a Curve by Dr. Doug Davis, 3D

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Derivative as a Function: Dynamic Tangent Slope Graphing

Derivative as a Function: Dynamic Tangent Slope Graphing

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Derivative with Function

Derivative with Function

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Linear Approximation

Linear Approximation

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Chain Rule Demonstration by Dr. Doug Davis, 3D

Chain Rule Demonstration by Dr. Doug Davis, 3D

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Chain Rule for Derivative of sin(2x)

Chain Rule for Derivative of sin(2x)

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Derivative Identification Quiz

Derivative Identification Quiz

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Visual Proof of Sine and Cosine Angle Sum Formulas

Visual Proof of Sine and Cosine Angle Sum Formulas

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Simple Harmonic Motion by Dr. Doug Davis, 3D

Simple Harmonic Motion by Dr. Doug Davis, 3D

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Light and Shadow

Light and Shadow

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Separating Ships: A Related Rates Problem

Separating Ships: A Related Rates Problem

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Airplane Angle Rate of Change Demo

Airplane Angle Rate of Change Demo

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Boundary Min and Max: Why Open Boundaries Cannot Attain Extrema

Boundary Min and Max: Why Open Boundaries Cannot Attain Extrema

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Absolute Min and Max of a Function

Absolute Min and Max of a Function

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Mean Value and Rolle's Theorems Visualization

Mean Value and Rolle's Theorems Visualization

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Rolle's Theorem

Rolle's Theorem

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Exploring Derivatives of Functions

Exploring Derivatives of Functions

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Toy Cannon

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Extrema Identification Quiz for Functions

Extrema Identification Quiz for Functions

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Parametric Curve in the Plane

Parametric Curve in the Plane

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Function of Two Variables

Function of Two Variables

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3D Coordinate Systems with Constant Surfaces

3D Coordinate Systems with Constant Surfaces

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Newton's Method by Dr. Doug Davis, 3D

Newton's Method by Dr. Doug Davis, 3D

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Illustration of Error Bounds on Taylor Series

Illustration of Error Bounds on Taylor Series

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Area Under a Curve by Dr. Doug Davis, 3D

Area Under a Curve by Dr. Doug Davis, 3D

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Visualizing Riemann Sum Value Locations

Visualizing Riemann Sum Value Locations

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Area Under the Curve and Integral

Area Under the Curve and Integral

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First Fundamental Theorem of Calculus Visualization

First Fundamental Theorem of Calculus Visualization

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Simpson's Rule Integration

Simpson's Rule Integration

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Area Summation with Riemann Sums

Area Summation with Riemann Sums

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Quadric Surfaces Demo by Dr. Doug Davis, 3D

Quadric Surfaces Demo by Dr. Doug Davis, 3D

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Interactive General Quadric Surface with Adjustable Parameters

Interactive General Quadric Surface with Adjustable Parameters

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Double Integral on Rectangular Region

Double Integral on Rectangular Region

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General Region Double Integral: Top-Bottom and Left-Right Curves

General Region Double Integral: Top-Bottom and Left-Right Curves

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