Relationship between Sign of Delta and Function

Relationship between Sign of Delta and Function
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2014-09-29 23:54
This example demonstrates the relationship between the sign of delta and the function depending on parameter m. By observing the function f(x) as parameter m changes, students can understand the pattern of the function's sign. GeoGebra commands used include m slider, function f, delta, and text objects. Suitable for high school math education to help students understand the relationship between function signs and parameters.

GeoGebra Commands & Parameters

  1. Numeric m(-0.3)
  2. f(x) = x^(2) - ((m + 3) * x) + m - 4
  3. m^(2) + (2 * m) + 25
  4. a(x) = f(x) > 0