Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.16

Compare and contrast relations and functions represented by equations, graphs, or tables that show related values; determine whether a relation is a function. Explain that a function f is a special kind of relation defined by the equation $y = f(x)$.

Unpacked Content

Knowledge

Students know:
  • How to represent relations and functions by equations, graphs or tables and can compare and contrast the different representations.
  • A function is a special kind of relation.

Skills

Students are able to:
  • Compare and contrast relations and functions given different representations.
  • Identify which relations are functions and which are not.

Understanding

Students understand that:
  • All functions are relations, but that some relations are not functions.
  • Equations, graphs, and tables are useful representations for comparing and contrasting relations and functions.

Vocabulary

  • Function
  • Relation
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