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A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
A2 Domain and Range
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A2 Domain and Range

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

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