2.4 LESSON - Domain & Range Applications

Function

• A pairing of inputs (x-values) with outputs (y-values)

• Can be represented as a:

  • table

  • graph

  • set of ordered pairs

  • mapping

Relation

• A relation where each input has exactly one output

• X-values do not repeat

• Graph passes the Vertical Line Test

• Points on a graph are connected

• Can include halves (in between values)

• Examples: time, weight

Continuous

• Separate values (dots on a graph)

• Only certain values can be used (limited/restricted)

• Examples: tickets, people

Discrete

• All the y-values in a relation or function

• Read graph from BOTTOM to TOP

Range

• All the x-values in a relation or function

• Read graph from LEFT to RIGHT

Domain

Now, let's apply what we already know to word problems.

Real-World Domain & Range