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Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…

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Presentation on theme: "Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…"— Presentation transcript:

1 Domain & Range

2 When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…

3 Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE : What is the range of the given function ?

4 Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE : What is the range of the given function ?

5 Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE : What is the range of the given function ?

6 Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE #2 : What is the domain of the given function ?

7 Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE #2 : What is the domain of the given function ?

8 Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE #2 : What is the domain of the given function ?

9 Domain & Range

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11 Linear graphs have no holes in them and continue in either direction infinitely…

12 Domain & Range

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16 A quadratic function is similar to a linear function…no holes or breaks in the graph

17 Domain & Range A quadratic function is similar to a linear function…no holes or breaks in the graph So the domain contains all real numbers…

18 Domain & Range

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30 Absolute Value : Acts like a quadratic…

31 Domain & Range Absolute Value : Acts like a quadratic… Domain is all real numbers…

32 Domain & Range Absolute Value : Acts like a quadratic… Domain is all real numbers… Range : Find the vertex and see which way the graph is pointing…

33 Domain & Range

34 What if only the function is given and not the graph ? How do you determine the domain and range ?

35 Domain & Range What if only the function is given and not the graph ? How do you determine the domain and range ? For all linear and cubic functions, both domain and range are all real numbers.

36 Domain & Range What if only the function is given and not the graph ? How do you determine the domain and range ? For all linear and cubic functions, both domain and range are all real numbers. Quadratic and absolute value are the same…

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