Functions Definition: – For every input, there is only one output – For every “x” there is...
-
Upload
theodora-beasley -
Category
Documents
-
view
237 -
download
0
Transcript of Functions Definition: – For every input, there is only one output – For every “x” there is...
![Page 1: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/1.jpg)
Functions
• Definition:– For every input, there is only one output– For every “x” there is only one “y”
• How to tell if a function is represent…– Do the input (x) values repeat?• If No…Function!!!• If Yes…Not a Function
– Does the graph pass the vertical line test?
![Page 2: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/2.jpg)
Domain and Range
Algebra 1
![Page 3: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/3.jpg)
Domain
• The Domain is all of the “x” values of a function– The Domain represents all values that are being
inputted into a function
• Horizontal Values
![Page 4: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/4.jpg)
Range
• The Range is all of the “y” values of a function– The Range represents all values that are being
outputted into a function
• Vertical Values
![Page 5: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/5.jpg)
Find the Domain and RangeX 3 4 6 -4
Y 11 14 17 20
Domain: { -4, 3, 4, 6 }
Range: { 11, 14, 17, 20 }
![Page 6: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/6.jpg)
Find the Domain and RangeX -10 -8 -6 -8
Y 3 4 5 6
Domain: N/A
Range: N/A
![Page 7: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/7.jpg)
Find the Domain and RangeX 5 15 25 35
Y 5 5 5 5
Domain: { 5, 15 , 25, 35}
Range: { 5 }
![Page 8: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/8.jpg)
Writing Domain and Range from a Continuous Graph
• Because it is impossible to write every value of x and y on a continuous graph, we use inequalities to help
• Inequalities help us make an interval
Domain : { lowest x value < x < highest x value }Range: { lowest y value < y < highest y value }
![Page 9: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/9.jpg)
Find the Domain and Range
Domain: { -3 < x < 8 }
Range: { -3 < y < 5 }
![Page 10: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/10.jpg)
Find the Domain and Range
![Page 11: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/11.jpg)
Find the Domain and RangeDomain: { -5 < x < 9 }
Range: { -5 < y < 5 }
![Page 12: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/12.jpg)
Find the Domain and Range
Domain: { x > 1}
Range: { y > 0}
![Page 13: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/13.jpg)
Find the Domain and Range
Range: { y < 7}
![Page 14: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/14.jpg)
Find the Domain and Range
Range: { y > -5 }
![Page 15: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/15.jpg)
Find the Domain and Range
Range: { y < 0 }
![Page 16: Functions Definition: – For every input, there is only one output – For every “x” there is only one “y” How to tell if a function is represent… – Do the.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfbd1a28abf838ca2230/html5/thumbnails/16.jpg)
Find the Domain and RangeDomain: { -6 < x < 5}
Range: { -7 < y < 5}