There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of intersection. The commentary reflects over interesting points about why the x² and x⁴ have different behaviors when x >1 and x< 1. 

Concepts

parent functions, quadratic functions, cubic functions, graphing functions

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Additional Tags

math

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Instructional Ideas

• Great to use in small groups to spark discussion on why the shape of the graphs behave a certain way

Classroom Considerations

• Learners should be familiar with the graphs of the parent functions

Pros

• Goes beyond parent functions to look at the relationship with one another

Cons

• None

Common Core

HSF-IF.C.7.c