Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s...
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Transcript of Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s...
![Page 1: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/1.jpg)
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Math 71
2.2 – Graphs of Functions
![Page 2: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/2.jpg)
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Graph of a function:the graph of all the function’s ordered pairs
![Page 3: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/3.jpg)
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To test if a graph is a function we can use the __________________________________.
If any vertical line intersects a graph in two or more points, then the graph does not represent a function.
![Page 4: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/4.jpg)
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To test if a graph is a function we can use the __________________________________.
If any vertical line intersects a graph in two or more points, then the graph does not represent a function.
vertical line test
![Page 5: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/5.jpg)
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Ex 1.Which of the following graphs are functions?
![Page 6: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/6.jpg)
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Ex 1.Which of the following graphs are functions?
![Page 7: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/7.jpg)
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domain – set of all possible _________ ______range – set of all possible _________________
Domain and Range of Functions
![Page 8: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/8.jpg)
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domain – set of all possible _________ ______range – set of all possible _________________
Domain and Range of Functions
-values
![Page 9: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/9.jpg)
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domain – set of all possible _________ ______range – set of all possible _________________
Domain and Range of Functions
-values-values
![Page 10: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/10.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
![Page 11: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/11.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
![Page 12: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/12.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
{𝒚|−𝟐<𝒚 ≤𝟏 }
![Page 13: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/13.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
{𝒚|−𝟐<𝒚 ≤𝟏 }
{𝒙|−𝟑≤ 𝒙<𝟒 }
![Page 14: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/14.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
{𝒚|−𝟐<𝒚 ≤𝟏 }
{𝒙|−𝟑≤ 𝒙<𝟒 }
{𝒚|−𝟏≤𝒚 ≤𝟐 }
![Page 15: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/15.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
![Page 16: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/16.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
![Page 17: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/17.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
{𝒚|𝒚 ≥𝟏 }
![Page 18: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/18.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
{𝒚|𝒚 ≥𝟏 }
{𝒙|−𝟏≤ 𝒙≤𝟑 }
![Page 19: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/19.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
{𝒚|𝒚 ≥𝟏 }
{𝒙|−𝟏≤ 𝒙≤𝟑 }
{𝒚|𝟎≤ 𝒚 ≤𝟐 }
![Page 20: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/20.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________
Range __________________________
Domain and Range of Functions
![Page 21: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/21.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________
Range __________________________
Domain and Range of Functions
{𝒙|−𝟏≤ 𝒙<𝟑 }
![Page 22: Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.](https://reader033.fdocuments.us/reader033/viewer/2022051621/5697bfbd1a28abf838ca2245/html5/thumbnails/22.jpg)
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________
Range __________________________
Domain and Range of Functions
{𝒙|−𝟏≤ 𝒙<𝟑 }
{𝒚|𝒚=𝟐 ,𝟑 ,𝟒 }