Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function gives the number of person-hours it takes to assemble engines in a factory, then the positive integers would be an appropriate domain for the function.

Analyze functions using different representations.

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.