HS.F-IF

HS.F-IF

HS.F-IF.1Understand 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. The graph of f is the graph of the equation y = f(x).HS.F-IF.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.HS.F-IF.3Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.HS.F-IF.4Use tables, graphs, verbal descriptions, and equations to interpret and sketch the key features of a function modeling the relationship between two quantities.HS.F-IF.5Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.HS.F-IF.6Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.HS.F-IF.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.HS.F-IF.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.HS.F-IF.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
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