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Domain & Range
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Domain & Range
When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…
![Page 3: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/3.jpg)
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 ?
![Page 4: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/4.jpg)
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 ?
![Page 5: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/5.jpg)
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 ?
![Page 6: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/6.jpg)
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 ?
![Page 7: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/7.jpg)
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 ?
![Page 8: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/8.jpg)
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 ?
![Page 9: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/9.jpg)
Domain & Range
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Domain & Range
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Domain & Range
Linear graphs have no holes in them and continue in either direction infinitely…
![Page 12: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/12.jpg)
Domain & Range
![Page 13: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/13.jpg)
Domain & Range
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Domain & Range
![Page 15: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/15.jpg)
Domain & Range
![Page 16: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/16.jpg)
Domain & Range
A quadratic function is similar to a linear function…no holes or breaks in the graph
![Page 17: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/17.jpg)
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…
![Page 18: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/18.jpg)
Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
Absolute Value :
Acts like a quadratic…
![Page 31: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/31.jpg)
Domain & Range
Absolute Value :
Acts like a quadratic…
Domain is all real numbers…
![Page 32: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/32.jpg)
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…
![Page 33: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/33.jpg)
Domain & Range
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Domain & Range
What if only the function is given and not the graph ? How do you determine the domain and range ?
![Page 35: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/35.jpg)
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.
![Page 36: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/36.jpg)
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…
![Page 37: Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…](https://reader038.vdocuments.site/reader038/viewer/2022103015/551aa4fb550346856e8b4754/html5/thumbnails/37.jpg)
Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range
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Domain & Range