Graphs of Logarithms
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This example demonstrates the plotting of logarithmic function graphs and their transformation rules. Key math concepts include logarithmic function properties, graph transformations, and analytical geometry. Construction highlights involve GeoGebra commands/objects like a, f, case1, case2, b, g, f_1, D, C, B, A, text1, text1_1, text2 for function definition, graph plotting, text labeling, and interactive demonstration. Suitable for high school mathematics teaching to understand logarithmic function graph characteristics and transformation applications.
GeoGebra Commands & Parameters
Numeric a(0.5)f(x) = log(a, x)Boolean case1(false)Boolean case2(false)Numeric b(3.0)g(x) = log(b, x)f_1(x) = a^(x)(1, g(1))(0, g(0))(1, f(1))(0, f(0))
AI Drawing Prompt Reference
Plot logarithmic function graphs with bases 0.5 and 3, showing their transformation rules. First, plot the logarithmic function with base 0.5, then plot the logarithmic function with base 3. Use a slider to adjust the base and observe the changes in the graph. Also, plot the corresponding exponential function for comparison.
The prompt above was compiled from the original drawing commands and is for reference only.