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Lesson Plan: Graphing Factorized Cubic Functions Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to graph cubic functions written in factored form and identify where they cross the axes.
Objectives
Students will be able to
- identify the graph of a factored cubic function, in particular
- where the function crosses or touches the (by identifying the roots),
- where the function crosses the (by setting ),
- the end behavior of the function as it tends to positive or negative infinity,
- identify a cubic function given its graph,
- factor a cubic function that has as a common factor and identify its graph.
Prerequisites
Students should already be familiar with
- finding the roots of a polynomial equation from its factored form,
- factoring and drawing quadratic functions.
Exclusions
Students will not cover
- quartic or higher-order polynomial graphs.
