AI-F.IF

Functions - Interpreting Functions

AI-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).AI-F.IF.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.AI-F.IF.3Recognize that a sequence is a function whose domain is a subset of the integers. (Shared standard with Algebra II)AI-F.IF.4For a function that models a relationship between two quantities: i) interpret key features of graphs and tables in terms of the quantities; and ii) sketch graphs showing key features given a verbal description of the relationship. (Shared standard with Algebra II)AI-F.IF.5Determine the domain of a function from its graph and, where applicable, identify the appropriate domain for a function in context.AI-F.IF.6Calculate and interpret the average rate of change of a function over a specified interval. (Shared standard with Algebra II)AI-F.IF.7Graph functions and show key features of the graph by hand and by using technology where appropriate. (Shared standard with Algebra II)AI-F.IF.8Write a function in different but equivalent forms to reveal and explain different properties of the function. (Shared standard with Algebra II)AI-F.IF.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (Shared standard with Algebra II)
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