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# Functions

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What is a function?Worked example: Evaluating functions from equationWorked example: Evaluating functions from graphWorked example: evaluating expressions with function notation

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Evaluate functionsGet 3 of 4 questions to level up!

Evaluate functions from their graphGet 3 of 4 questions to level up!

Evaluate function expressionsGet 3 of 4 questions to level up!

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Worked example: matching an input to a function's output (equation)Worked example: matching an input to a function's output (graph)Worked example: two inputs with the same output (graph)

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Function inputs & outputs: equationGet 3 of 4 questions to level up!

Function inputs & outputs: graphGet 3 of 4 questions to level up!

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Equations vs. functionsObtaining a function from an equation

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Function rules from equationsGet 3 of 4 questions to level up!

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Function notation word problem: bankFunction notation word problem: beach

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Function notation word problemsGet 3 of 4 questions to level up!

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Intervals and interval notationWhat is the domain of a function?What is the range of a function?Worked example: domain and range from graph

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Domain and range from graphGet 5 of 7 questions to level up!

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Domain of a radical functionWorked example: domain of algebraic functionsWorked example: determining domain word problem (real numbers)Worked example: determining domain word problem (positive integers)Worked example: determining domain word problem (all integers)

Practice

Determine the domain of functionsGet 3 of 4 questions to level up!

Function domain word problemsGet 3 of 4 questions to level up!

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Recognizing functions from graphDoes a vertical line represent a function?Recognizing functions from tableRecognizing functions from verbal descriptionRecognizing functions from verbal description word problem

Practice

Recognize functions from graphsGet 3 of 4 questions to level up!

Recognize functions from tablesGet 3 of 4 questions to level up!

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Introduction to minimum and maximum pointsWorked example: absolute and relative extrema

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Relative maxima and minimaGet 3 of 4 questions to level up!

Absolute maxima and minimaGet 3 of 4 questions to level up!

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Increasing, decreasing, positive or negative intervalsWorked example: positive & negative intervals

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Positive and negative intervalsGet 3 of 4 questions to level up!

Increasing and decreasing intervalsGet 3 of 4 questions to level up!

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Graph interpretation word problem: temperatureGraph interpretation word problem: basketball

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Graph interpretation word problemsGet 3 of 4 questions to level up!

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Introduction to average rate of changeWorked example: average rate of change from graphWorked example: average rate of change from tableWorked example: average rate of change from equation

Practice

Average rate of change: graphs & tablesGet 3 of 4 questions to level up!

Average rate of change of polynomialsGet 3 of 4 questions to level up!

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Average rate of change word problem: tableAverage rate of change word problem: graphAverage rate of change word problem: equationAverage rate of change review

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Average rate of change word problemsGet 3 of 4 questions to level up!