Lesson: Cubic Functions and Their Graphs Mathematics • Second Year of Secondary School

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In this lesson, we will learn how to graph cubic functions, write their rules from their graphs, and identify their features.

Students will be able to

graph and recognize the standard cubic function ,
recognize transformations (translations, dilations, and combinations of these) of the cubic function , both graphically and algebraically,
identify the equation of a transformation of the standard cubic function from its graph or graph a transformation of the standard cubic function from its equation,
recognize features of the standard cubic function and its transformations, including the point of rotational symmetry, its end behavior, and its monotonicity.