Functions

8.F.1Explore the concept of functions.8.F.1aUnderstand that a function assigns to each input exactly one output.8.F.1bRelate inputs (x-values or domain) and outputs (y-values or range) to independent and dependent variables.8.F.1cTranslate among the multiple representations of a function, including mappings, tables, graphs, equations, and verbal descriptions.8.F.1dDetermine if a relation is a function using multiple representations, including mappings, tables, graphs, equations, and verbal descriptions.8.F.1eGraph a function from a table of values. Understand that the graph and table both represent a set of ordered pairs of that function.8.F.2Compare multiple representations of two functions, including mappings, tables, graphs, equations, and verbal descriptions, in order to draw conclusions.8.F.3Investigate the differences between linear and nonlinear functions using multiple representations (i.e. tables, graphs, equations, and verbal descriptions).8.F.3aDefine an equation in slope-intercept form (y=mx+b) as being a linear function.8.F.3bRecognize that the graph of a linear function has a constant rate of change.8.F.3cProvide examples of nonlinear functions.8.F.4Apply the concepts of linear functions to real-world and mathematical situations.8.F.4aUnderstand that the slope is the constant rate of change and the y-intercept is the point where x = 0.8.F.4bDetermine the slope and the y-intercept of a linear function given multiple representations, including two points, tables, graphs, equations, and verbal descriptions.8.F.4cConstruct a function in slope-intercept form that models a linear relationship between two quantities.8.F.4dInterpret the meaning of the slope and the y-intercept of a linear function in the context of the situation.8.F.4eExplore the relationship between linear functions and arithmetic sequences.8.F.5Apply the concepts of linear and nonlinear functions to graphs in real-world and mathematical situations.8.F.5aAnalyze and describe attributes of graphs of functions (e.g., constant, increasing/decreasing, linear/nonlinear, maximum/minimum, discrete/continuous).8.F.5bSketch the graph of a function from a verbal description.8.F.5cWrite a verbal description from the graph of a function with and without scales.
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