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MA.912.F.3.1: | Given 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.Clarifications: Clarification 1: Instruction includes representing domain restrictions with inequality notation, interval notation or set-builder notation.Clarification 2: Within the Algebra 1 Honors course, notations for domain and range are limited to inequality and set-builder.
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MA.912.F.3.2: | Given 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.Clarifications: Clarification 1: Instruction includes representing domain restrictions with inequality notation, interval notation or set-builder notation.Clarification 2: Within the Mathematics for Data and Financial Literacy course, problem types focus on money and business.
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MA.912.F.3.3: | Solve mathematical and real-world problems involving functions that have been combined using arithmetic operations. |
MA.912.F.3.4: | Represent the composition of two functions algebraically or in a table. Determine the domain and range of the composite function. |
MA.912.F.3.5: | Solve mathematical and real-world problems involving composite functions. |
MA.912.F.3.6: | Determine whether an inverse function exists by analyzing tables, graphs and equations. |
MA.912.F.3.7: | Represent 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.Clarifications: Clarification 1: Instruction includes the understanding that a logarithmic function is the inverse of an exponential function. |
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MA.912.F.3.8: | Produce an invertible function from a non-invertible function by restricting the domain. |
MA.912.F.3.9: | Solve mathematical and real-world problems involving inverse functions. |
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