IA1.AT.C.10: Identify, represent, and analyze functions in terms of their domain and range. a. Determine whether a relationship is a function by verifying that each element of the domain is assigned to exactly one element of the range using tables, graphs, and equations. b. Determine whether a function is one-to-one by analyzing tables, graphs, or equations, and justify the reasoning based on the relationship between inputs and outputs. c. Use function notation to evaluate functions for specific input values, x, and describe how the output changes with respect to the input. Interpret the meaning of specific values and patterns in context. d. Represent the graph of a function as the set of ordered pairs (x, f(x)) and explain how it illustrates the relationship between domain and range.

Identify, represent, and analyze functions in terms of their domain and range. a. Determine whether a relationship is a function by verifying that each element of the domain is assigned to exactly one element of the range using tables, graphs, and equations. b. Determine whether a function is one-to-one by analyzing tables, graphs, or equations, and justify the reasoning based on the relationship between inputs and outputs. c. Use function notation to evaluate functions for specific input values, x, and describe how the output changes with respect to the input. Interpret the meaning of specific values and patterns in context. d. Represent the graph of a function as the set of ordered pairs (x, f(x)) and explain how it illustrates the relationship between domain and range.

Example Problems
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