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Mathematics > Course Model Mathematics III (Integrated Pathway) > Interpreting Functions

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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.*


Resources:


  • Function
    A mathematical relation for which each element of the domain corresponds to exactly one element of the range.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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.