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Domain and Range of Exponential Functions

Domain and Range of Exponential Functions
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2017-10-24 02:35
FunctionProbability & StatisticsGraphing
This example demonstrates the domain and range of exponential functions. It involves key mathematical concepts such as the properties and graphs of exponential functions. Using GeoGebra commands like Point, Intersect, If, and Line, the graph of an exponential function can be constructed and the changes in its domain and range can be observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Intersect(g, yAxis) → B
  3. Point(yAxis) → C
  4. Point(yAxis) → D
  5. If(a > 0, Ray[B, C], If[a ≟ 0, Ray[B, B], Ray[B, D]]) → v
  6. Point(xAxis) → E
  7. Point(xAxis) → F
  8. Line(E, F) → c

AI Drawing Prompt Reference

Draw the graph of an exponential function to observe changes in its domain and range. First, plot the function, then find the intersection point B with the y-axis. Next, take points C and D on the y-axis. Depending on whether a is positive or zero, draw different rays v. Finally, draw a horizontal line c.
The prompt above was compiled from the original drawing commands and is for reference only.