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Continuity #4b

Continuity #4b
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2013-11-27 22:59
FunctionTrigonometryCalculus
In collections Calculus: Limits: Continuity
This example demonstrates how to make a function continuous by adjusting parameters. It involves concepts of trigonometry and limits. Using GeoGebra commands like Function, users can observe the impact of parameter changes on the function graph. Suitable for high school math education and students learning calculus.

GeoGebra Commands & Parameters

  1. Function(2 * (n * x)^(3) + x - 1, -30, 1) → a
  2. Function(2 * n * x + (x - 1)^(2), 1, 30) → f

AI Drawing Prompt Reference

Draw a continuous function graph consisting of two parts: the first part is a cubic polynomial function in the form of 2 * (n * x)^(3) + x - 1 with a domain from -30 to 1; the second part is a linear function in the form of 2 * n * x + (x - 1)^(2) with a domain from 1 to 30. Observe the continuity of the function at x=1 by adjusting the parameter n.
The prompt above was compiled from the original drawing commands and is for reference only.