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Continuity Problem

Continuity Problem
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2013-11-26 03:18
FunctionCalculus
In collections Calculus: Limits: Continuity
This example demonstrates how to make a function continuous by adjusting parameter n. Key math concepts include continuity. It uses the Function command to construct the function, suitable for high school math education or learning.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a continuous function by adjusting parameter n to make the function continuous at x=-1. First, draw a line y=3x+n from x=-30 to x=-1; then, draw a parabola y=x^2-n from x=-1 to x=2; finally, draw a horizontal line y=3 from x=2 to x=30.
The prompt above was compiled from the original drawing commands and is for reference only.