Mathematics | Course : Model Algebra II (Traditional Pathway)
Domain - Interpreting Functions
Cluster - Interpret functions that arise in applications in terms of the context (polynomial, rational, square root and cube root, trigonometric, and logarithmic functions).
[AII.F-IF.B.5] - Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
- Function
A mathematical relation for which each element of the domain corresponds to exactly one element of the range.
[AII.F-IF.B.4] -
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*