MA19.A2.18

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.18

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Extend to polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.

Unpacked Content

Knowledge

Students know:

  • Techniques for graphing functions.
  • Techniques for determining the domain of a function from its context.

Skills

Students are able to:

  • Interpret the domain from the context.
  • Produce a graph of a function based on the context given.

Understanding

Students understand that:

  • Different contexts produce different domains and graphs.
  • Function notation in itself may produce graph points which should not be in the graph as the domain is limited by the context.

Vocabulary

  • Function
  • Quantitative
  • Domain
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