Exploring Exponential Functions by david.bernasconi

Exploring Exponential Functions by david.bernasconi
Loading the math board and drawing, please wait…
2016-04-06 18:04
This example demonstrates the properties of exponential functions and their transformations. It involves core math concepts like exponential function behavior, function graph translations, and dilations. Constructed using GeoGebra commands/objects such as f (function), k (coefficient), g (graph), h (transformation), i (parameter), a (slider), and j (locus). Suitable for high school mathematics teaching and student understanding of function transformations.

GeoGebra Commands & Parameters

  1. f(x) = 2^(x)
  2. Numeric k(-2)
  3. g(x) = 2^(x) + k
  4. Numeric h(3)
  5. i(x) = 2^(x - h) + k
  6. Numeric a(-1)
  7. j(x) = (a * 2^(x))