A1.15

Define a function as a mapping from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range.

A1.15.aUse function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Note: If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x.A1.15.bRelate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Limit to linear, quadratic, exponential, and absolute value functions.
Khan Academy Resources
Intro to rational expressionsEvaluate functionsEvaluate function expressionsDomain and range from graphEvaluate functions from their graphEvaluate step functionsSolutions of inequalities: algebraicFunction notation word problemsEvaluate inverse functionsFunction domain word problemsSolutions of systems of inequalitiesEvaluate piecewise functionsTesting solutions to inequalities Testing solutions to systems of inequalitiesExamples finding the domain of functionsWorked example: matching an input to a function's output (equation)Worked example: determining domain word problem (real numbers)Worked example: two inputs with the same output (graph)Worked example: evaluating expressions with function notationEvaluating discrete functionsWorked example: matching an input to a function's output (graph)Worked example: evaluating piecewise functionsEvaluating sequences in recursive formWorked example: determining domain word problem (positive integers)Worked example: determining domain word problem (all integers)Function notation word problem: beach
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