Gen.Math_Functions and Relations

• If no vertical lines intersect more than once, then the graph represents a function.
• A function is a relation where every element in the domain corresponds to exactly one element in the range.
• Relation

  Any set of ordered pairs
• Domain

  The set of all the x components of the ordered pairs
• Range

  The set of all the y components of the ordered pairs
• Relation

  a rule that relates values from a set of values called the domain to a second set of values called the range
• Function

  A relation in which each member of the domain is paired to exactly one member of the range
• • A function is defined if no two ordered pairs have the same x value but different y values
• Identify whether true or false.

  • Ellipse is a function.

  False
• Identify whether true or false.

  • Hyperbola is not a function.

  True
• Identify whether true or false.

  • Parabola is not a function

  False
• Identify whether true or false.

  • Circle is a function.

  False
• Function or not?

  Set A: {(1, 2), (2, 3), (3, 4), (4, 5)}

  Function
• Is this a function?

  Set B: {(1, 2), (2, 3), (3, 4), (4, 5)}

  Yes
• Is this a function?

  Set C: {(1, 2), (2, 3), (3, 4), (1, 5)}

  No
• Is this a function?

  $y=$$2x+$$3$


  Yes
• Is this a function$x^2 +$$y^2 =$$25$


  No
• Is this a function?

  $y =$$│x│$


  Yes
• Is this a function?

  $x =$$y^2$


  No
• Is this a function?

  $y =$$1/x$


  Yes