Exponential Function Graphs (with x-intercept labeled)

Exponential Function Graphs (with x-intercept labeled)
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2016-11-06 22:52
This example demonstrates the graph of exponential functions with labeled x-intercepts. Key math concepts include exponential function properties, graph transformations, and the significance of x-intercepts. Construction involves using GeoGebra commands like Textfield and Intersect, with objects such as a, k, c, d, g, f, etc., to dynamically plot the function and annotate the x-intercept. Suitable for high school mathematics education to understand exponential function graphs and parameter effects.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(c) → InputBox2
  3. Textfield(k) → InputBox3
  4. Textfield(d) → InputBox5
  5. Intersect(g, xAxis) → B
  6. Intersect(g, xAxis) → C
  7. Intersect(g, xAxis) → D
  8. Intersect(f, xAxis, (7.821568176639432, -9.947598300641403E-14)) → E