Mathematics | Course : Model Mathematics III (Integrated Pathway)
Domain - Interpreting Functions
Cluster - Interpret functions that arise in applications in terms of the context (rational, polynomial, square root, cube root, trigonometric, logarithmic).
[MIII.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.*
- Function
A mathematical relation for which each element of the domain corresponds to exactly one element of the range.
[MIII.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.
[MIII.F-TF.B.5] -
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
[PC.F-TF.B.6] -
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.