HS.F.1

Understand properties and key features of functions and the different ways functions can be represented. (MP.2, MP.4, MP.7)

HS.F.1.aUnderstand 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. 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.HS.F.1.bUsing appropriate function notation, evaluate functions for inputs in their domains and interpret statements that use function notation in terms of a context.HS.F.1.cFor a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship.HS.F.1.dRelate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.HS.F.1.eCompare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
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