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Introduction to Functions

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Importance

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Lesson Goals

  • Represent relations in a variety of ways, including mapping diagrams, equations, sets of ordered pairs, and graphs.
  • Represent relations whose graphs are circles, by using equations, tables, and graphs.
  • Identify when a relation is a function, by using the definition of a function or the Vertical Line Test.

Try This

Pairs of real numbers, \(x\) and \(y\), are related by the equation \((x-3)^2+y^2=25\).

Use a table of values to graph this relation. 

Hint: Not all \(x\)-values will work.