A1.PAFR.3: Represent and interpret functions symbolically and graphically.

Represent and interpret functions symbolically and graphically.

A1.PAFR.3.1Recognize that f(x) denotes the output of function f that corresponds to the input x, and this corresponds to the set of all the ordered pairs (x, y) that satisfy the equation y = f(x) both tabularly and graphically.A1.PAFR.3.2Use the definition of a function to analyze the domain and range of a function in relation to its graph, mapping, table, verbal, and/or symbolic description and, where applicable, using interval and set notation.A1.PAFR.3.3Translate among graphical, tabular, verbal, and symbolic representations in function notation, to identify intercepts, intervals where the function is increasing, decreasing, constant, maximums and minimums, and symmetries and explain their meanings in real-world and mathematical situations.A1.PAFR.3.4Interpret how lead coefficients impact the shape of a function's graph.

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