HS.F.1: Understand properties and key features of functions and the different ways functions can be represented. (MP.2, MP.4, MP.7)

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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