MA.912.F.3

Create new functions from existing functions.

MA.912.F.3.1Given a mathematical or real-world context, combine two functions, limited to linear and quadratic, using arithmetic operations. When appropriate, include domain restrictions for the new function.MA.912.F.3.2Given a mathematical or real-world context, combine two or more functions, limited to linear, quadratic, exponential and polynomial, using arithmetic operations. When appropriate, include domain restrictions for the new function.MA.912.F.3.3Solve mathematical and real-world problems involving functions that have been combined using arithmetic operations.MA.912.F.3.4Represent the composition of two functions algebraically or in a table. Determine the domain and range of the composite function.MA.912.F.3.5Solve mathematical and real-world problems involving composite functions.MA.912.F.3.6Determine whether an inverse function exists by analyzing tables, graphs and equations.MA.912.F.3.7Represent the inverse of a function algebraically, graphically or in a table. Use composition of functions to verify that one function is the inverse of the other.MA.912.F.3.8Produce an invertible function from a non-invertible function by restricting the domain.MA.912.F.3.9Solve mathematical and real-world problems involving inverse functions.
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