Lesson Plan: Sign of a Function Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine the sign of a function from its equation or graph.


Students will be able to

  • determine the sign of a constant function, a linear function, or a quadratic function over specified intervals both graphically and algebraically,
  • determine the interval over which a function has a specified sign.


Students should already be familiar with

  • graphs of constant, linear, and quadratic functions,
  • intervals and domains of functions,
  • the discriminant of a quadratic equation and how it can be used to determine types of roots,
  • finding the roots of a quadratic equation.


Students will not cover

  • cubic or higher-order functions,
  • nonpolynomial functions.

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