Graphs from Exercise 4.3
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This example demonstrates the plotting of function graphs, calculation of triangle perimeter, and construction of circumcircle and incircle. Key math concepts include functions, logarithms, triangle perimeter, circumcircle, and incircle. GeoGebra commands used are f_1, f_2, f_3, f_5, f_4, a, b, c, d, e, text1 for function plotting and geometric constructions. Suitable for high school mathematics education and learning, focusing on function graphing and geometric property exploration.
GeoGebra Commands & Parameters
f_1(x) = 1 / (1 - x) - 1 / (1 - x)^(2)f_2(x) = (x - abs(x)) / xf_3(x) = (x^(2) + 3) / (x - 1)f_5(x) = (exp(x) - exp(-x)) / (exp(x) + exp(-x))f_4(x) = (x^(2) - 3 * x - 4) / (2 * x^(2) + 5 * x - 7)Boolean a(true)Boolean b(true)Boolean c(true)Boolean d(true)Boolean e(true)
AI Drawing Prompt Reference
Plot the graphs of four functions: y equals 1 over 1 minus x minus 1 over 1 minus x squared, y equals x minus the absolute value of x over x, y equals x squared plus 3 over x minus 1, and y equals e to the power of x minus e to the power of negative x over e to the power of x plus e to the power of negative x, then construct a triangle's perimeter and draw its circumcircle and incircle to demonstrate function graphs and geometric properties.
The prompt above was compiled from the original drawing commands and is for reference only.