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Unit: Functions

About this unit

This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - Function transformations (shift, reflect, stretch) - Piecewise functions - Inverse functions - Two-variable functions

Evaluating functions

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Inputs and outputs of a function

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Functions and equations

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Interpreting function notation

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Introduction to the domain and range of a function

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Determining the domain of a function

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Recognizing functions

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Piecewise functions

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Maximum and minimum points

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Intervals where a function is positive, negative, increasing, or decreasing

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Interpreting features of graphs

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Average rate of change

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Average rate of change word problems

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Combining functions

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Composing functions (Algebra 2 level)

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Shifting functions

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Stretching functions

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Modeling situations by combining and composing functions (Algebra 2 level)

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Introduction to inverses of functions (Algebra 2 level)

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Finding inverse functions (Algebra 2 level)

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Verifying that functions are inverses (Algebra 2 level)

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Determining whether a function is invertible (Algebra 2 level)

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Determining the domain of advanced functions (Algebra 2 level)

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Determining the range of a function (Algebra 2 level)

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Graphing nonlinear piecewise functions (Algebra 2 level)

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Interpreting the symmetry of algebraic models (Algebra 2 level)

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Interpreting the end behavior of algebraic models (Algebra 2 level)

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Interpreting the periodicity of algebraic models (Algebra 2 level)

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Comparing features of functions (Algebra 2 level)

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Two-variable functions

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Unit test

Test your understanding of Functions with these 37 questions.