Foundations -> Graphing Functions

Sure you may know how to make a graphing calculator graph some equation, but in calculus you really need to know how to accurately graph the functions listed below by hand, without any help from a calculator. Be sure to have a solid foundation and understanding of how to neatly sketch each and what the important characteristics are on each graph.

Graph changes with function notation

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Finding x-intercepts and y-intercepts

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Lines

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Parabolas/Quadratics

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Sine, Cosine, and Tangent

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Absolute Value

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Square Root Function

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Absolute Value

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Greatest Integer Function

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Piecewise Functions

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Where do graphs have holes in them?

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Where Vertical Asymptotes are found?

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Foundational Concepts

The following concepts are crucial in calculus, be sure you have a solid understanding of this material!

The 5 Step Plan