Logarithmic and Exponential Functions by BethStilwell
Loading the math board and drawing, please wait…
This example demonstrates the graphs and properties of logarithmic and exponential functions. By adjusting parameters, you can observe the changes in the graphs of exponential and logarithmic functions. Key mathematical concepts include exponential functions, logarithmic functions, and their graph characteristics. The construction uses functions and slider animation GeoGebra commands. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
f(x) = lg(x)g(x) = log(x)h(x) = ld(x)p(x) = exp(x)(10, lg(10))(2.71, log(2.71))(2, ld(2))(0, exp(0))(1, exp(1))Boolean a(true)Boolean b(true)Boolean c(true)Boolean d(true)
AI Drawing Prompt Reference
Draw the graphs of exponential and logarithmic functions to demonstrate their basic shapes and properties, including natural logarithm, common logarithm, and logarithm with base 2, along with the exponential function. Mark several key points on the coordinate system such as (10,lg(10)), (2.71,log(2.71)), (2,ld(2)), (0,exp(0)), (1,exp(1)), and use sliders to dynamically adjust parameters to observe changes in the graphs.
The prompt above was compiled from the original drawing commands and is for reference only.