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Given the graph of the relation shown, represent the domain and range using

  • number lines,

  • interval notation,

  • set-builder notation, and

  • words.

1.

Number lines:

Domain: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathcolor=¨#FF0000¨»x«/mi»«mo mathcolor=¨#FF0000¨»§#60;«/mo»«mn mathcolor=¨#FF0000¨»3«/mn»«/math»


Range: y > − 3
Interval notation:

Domain: (−∞,3)

Range: (−3,+∞)
Set-builder notation:

Domain:

Range:
In words:

Domain: The set of all x such that x is less than 3, and x is a Real Number

Range: The set of all y such that y is greater than −3, and y is a Real Number

 

2.

Number lines:

Domain:


Range:

Interval notation:

Domain: [−2,3)

Range: [−1,3)
Set-builder notation:

Domain:

Range:
In words:

Domain: The set of all x such that x is greater than or equal to −2 and less than 3, and x is a Real Number.

Range: The set of all y such that y is greater than or equal to −1 and less than 3, and y is a Real Number.


  1. State the domain and range of the following relations using set builder notation and interval notation.

    D:

    R:     		D: [−3,2]

    R: [−3,3]     		D:

    R:     		D: [−2,4]

    R: [−2,3]