F1-3: Functions and Relations

F1-3: Functions and Relations

1. Definitions

   • Relation
     • a rule that associates the elements of one set with the elements of another set
   • arrow diagram
     • used to represent a relation
   • function
     • a relation where each element in the first set is associated with exactly one element in the second set
   • domain
     • the set of first elements in a relation
   • range
   • function notation
     • notation used to show the independent variable in a function
   • rate of change
     • the change in one quantity with respect to the change in another quantity
   • linear function
     • a linear relation whose graph is not a vertical line
   • vertical intercept
     • also known as the y-intercept, is the y-coordinate of a point where a graph intersects the y-axis
   • horizontal intercept
     • also known as x-intercept, is the x-coordinate of a point where a graph intersects the x-axis
   • discrete data
     • Enter text here
   • continuos data
   • set
   • element

2. Representing relations

   • words
   • ordered pairs
   • table of values
   • mapping or arrow diagrams
   • graphs

3. Important symbols

   • { }
     • "the set of"
   • I
     • "such that"
   • E
     • is an element of
   • {{xIxER}}
     • set of x is such that x is an element of the real number system
   • <
     • less than
   • ≤
     • less than or equal to
   • >
     • Greater than
   • ≥
     • Greater than or equal to
   • open bullet
     • indicates up to but not including
   • closed bullet
     • this denotes up to and including
   • arrow
     • indicates the direction and that the line continues on indefinitely