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Exponential Function Basics

Exponential Function Basics
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2013-02-15 00:01
FunctionSlider AnimationGraphing
In collections Graph Transformations
This example demonstrates the changes in the graph of an exponential function by moving sliders. Key mathematical concepts include the properties and graph characteristics of exponential functions. The construction uses GeoGebra slider animation commands. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(1.0)
  3. Numeric c(1.0)
  4. Numeric d(1.0)
  5. g(x) = exp(x)
  6. f(x) = a * ℯ^(b * x - c) + d

AI Drawing Prompt Reference

Draw an exponential function graph, and use sliders to adjust the parameters a, b, c, and d to change the shape of the function. Start with y = exp(x), then observe how the graph changes as you move the sliders for a * ℯ^(b * x - c) + d.
The prompt above was compiled from the original drawing commands and is for reference only.