NC.M3.F-BF: Functions: Building Functions

Functions: Building Functions

NC.M3.F-BF.1Write a function that describes a relationship between two quantities.NC.M3.F-BF.1aBuild polynomial and exponential functions with real solution(s) given a graph, a description of a relationship, or ordered pairs (include reading these from a table).NC.M3.F-BF.1bBuild a new function, in terms of a context, by combining standard function types using arithmetic operations.NC.M3.F-BF.3Extend an understanding of the effects on the graphical and tabular representations of a function when replacing (x) with k * f(x), f(x) + k, f(x + k) to include f(k ∙ x) for specific values of k (both positive and negative).NC.M3.F-BF.4Find an inverse function.NC.M3.F-BF.4aUnderstand the inverse relationship between exponential and logarithmic, quadratic and square root, and linear to linear functions and use this relationship to solve problems using tables, graphs, and equations.NC.M3.F-BF.4bDetermine if an inverse function exists by analyzing tables, graphs, and equations.NC.M3.F-BF.4cIf an inverse function exists for a linear, quadratic and/or exponential function, f, represent the inverse function, f^1, with a table, graph, or equation and use it to solve problems in terms of a contex.
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