This is my notes but not of my own.

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Functions

  • Relation: A set of ordered pairs. {(x1,y1), (x2,y2)} such that {} is a relation.
  • Domain: The set consisting of the first components of each ordered pair is called the domain. {(x,y)} such that x is a domain.
  • Range: The set consisting of the second components of each ordered pair is called the range. { (x,y) } such that y is a range.
  • Input value (Independent variable): Each value in the domain is also known as an input value, or independent variable, and is often labeled with the lowercase letter x . The input values make up the domain.
  • Output value( Dependent variable): Each value in the range is also known as an output value, or dependent variable, and is often labeled lowercase letter y. The output values make up the range.
  • Function: A function f is a relation that assigns a single element in the range to each element in the domain. In other words, no x-values are repeated. A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.”

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