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A2 Domain and Range

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  • 1. Domain and Range Algebra 2
  • 2. Domain and Range
    • The domain of a relation is the set of all inputs .
  • 3. Domain and Range
    • The domain of a relation is the set of all inputs .
    • The range of a relation is the set of all outputs .
  • 4. 9 10 7 8 5 6 3 4 1 2 Output Input
  • 5. Domain
    • The domain of all polynomial functions is all Real numbers .
  • 6. Domain
    • The domain of all polynomial functions is all Real numbers .
  • 7. Domain
    • The domain of all polynomial functions is all Real numbers .
    • Radical functions cannot have a negative number under the radical .
  • 8. Domain
    • The domain of all polynomial functions is all Real numbers .
    • Radical functions cannot have a negative number under the radical .
    • Rational functions cannot have a zero in the denominator .
  • 9. Set Notation
    • All Real Numbers:
      • (-  ,  )
      • {x | -  < x <  }
  • 10. Set Notation
    • All Real Numbers except 2 and -2:
      • (-  , -2)  (-2, 2)  (2,  )
      • {x | x  -2, x  2}
  • 11. Set Notation
    • All Real Numbers greater than or equal to 2:
      • [2,  )
      • {x | x  2}
  • 12. Set Notation
    • All Real Numbers between -2 and 4:
      • (-2, 4) not including
      • {x | -2 < x < 4}
      • [-2, 4] including
      • {x | -2  x  4}
  • 13. Set Notation
    • All Real Numbers beyond -2 and 4:
      • (-  , -2)  (4,  ) not including
      • {x | x < -2, x > 4}
      • (-  , -2]  [4,  ) including
      • {x | x  -2, x  4}
  • 14. Range
    • To find the range of a function, think about the graph.
    • What values of the y-axis are included in the graph?
  • 15. Graphing Calculator