FAC.F.12
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Use function notation, where appropriate. (F-IF.1, F-IF.2)
Example Problems
For a given input value x, the function f satisfies the following equation:
where y is the output of f(x).
Write a formula for in terms of x.
where y is the output of f(x).
Write a formula for in terms of x.
Find for the piecewise function .
For a given input value x, the function f satisfies the following equation:
where n is the output of .
Write a formula for in terms of x.
where n is the output of .
Write a formula for in terms of x.
Khan Academy ResourcesIntro to inverse functionsEvaluate functionsEvaluate function expressionsEvaluate functions from their graphFunction rules from equationsFunction inputs & outputs: graphFunction notation word problemsEvaluate inverse functionsIdentifying values in the domainFunction inputs & outputs: equationRecognize functions from tablesFinding inverses of linear functionsRecognize functions from graphsEquations vs. functionsIntro to inverse functionsFinding inverse functions: linearRecognizing functions from tableRecognizing functions from graphObtaining a function from an equationWorked example: Evaluating functions from equationWorked example: matching an input to a function's output (equation)What is the range of a function?Graphing the inverse of a linear functionWhat is a function?Worked example: two inputs with the same output (graph)Worked example: evaluating expressions with function notationDoes a vertical line represent a function?Evaluating discrete functionsWorked example: matching an input to a function's output (graph)Determining whether values are in domain of functionEvaluating sequences in recursive formWorked example: domain & range of piecewise linear functionsWhat is the domain of a function?Worked example: Evaluating functions from graphWorked example: domain & range of step functionInputs & outputs of inverse functionsRecognizing functions from verbal descriptionRecognizing functions from verbal description word problemsFunction notation word problem: beachFunction notation word problem: bank

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