NC.M2.F-IF

Functions: Interpreting Functions

NC.M2.F-IF.1Extend the concept of a function to include geometric transformations in the plane by recognizing that:NC.M2.F-IF.1aThe domain and range of a transformation function f are sets of points in the plane.NC.M2.F-IF.1bThe image of a transformation is a function of its pre-image.NC.M2.F-IF.2Extend the use of function notation to express the image of a geometric figure in the plane resulting from a translation, rotation by multiples of 90 degrees about the origin, reflection across an axis, or dilation as a function of its pre-image.NC.M2.F-IF.4Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: domain and range, rate of change, symmetries, and end behavior.NC.M2.F-IF.7Analyze quadratic, square root, and inverse variation functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; intercepts; intervals where the function is increasing, decreasing, positive, or negative; rate of change; maximums and minimums; symmetries; and end behavior.NC.M2.F-IF.8Use equivalent expressions to reveal and explain different properties of a function by developing and using the process of completing the square to identify the zeros, extreme values, and symmetry in graphs and tables representing quadratic functions, and interpret these in terms of a context.NC.M2.F-IF.9Compare key features of two functions (linear, quadratic, square root, or inverse variation functions) each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).
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