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Find the Value to Make a Function Continuous

Find the Value to Make a Function Continuous
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2013-11-25 23:01
FunctionCalculus
In collections Calculus: Limits: Continuity
This example demonstrates how to adjust parameter n to make a function continuous at a point. Key mathematical concepts include function continuity. GeoGebra commands used include Function, objects n, a, f, A, B. Suitable for high school math education or learning calculus concepts.

GeoGebra Commands & Parameters

  1. Function(n * 3^(x) - x^(2) + 2 * n, -30, 0) → a
  2. Function(2 * x^(5) + n * (x + 1) + 16, 0, 30) → f

AI Drawing Prompt Reference

Draw a function consisting of two parts: the first part is n * 3^x - x^2 + 2n with domain from -30 to 0; the second part is 2x^5 + n(x + 1) + 16 with domain from 0 to 30. Adjust the parameter n to make the function continuous at x=0.
The prompt above was compiled from the original drawing commands and is for reference only.