4.2 day 2 writing domain and range as inequalities today’s goal: -to write the domain and range...
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![Page 1: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/1.jpg)
4.2 DAY 2WRITING DOMAIN AND RANGE AS INEQUALITIESToday’s Goal:
-To write the domain and range using an inequality.
-To understand the domain and ranges of parent graphs.
![Page 2: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/2.jpg)
Ex 1: What is the domain and range of the graph?
![Page 3: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/3.jpg)
Ex 2: What is the domain and range of the graph?
![Page 4: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/4.jpg)
Ex 3: What is the domain and range of the graph?
![Page 5: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/5.jpg)
Ex 4: What is the domain and range of the graph?
![Page 6: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/6.jpg)
Ex 5: What is the domain and range of the graph?
![Page 7: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/7.jpg)
Ex 7: What is the range of the function y = |6x - 15| + 13?
![Page 8: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/8.jpg)
Linear Functions…aka lines
Domain: All Real #sRange: All Real #s
Two exceptions:
1.) Horizontal lines 2.) Vertical lines D: All Reals, Not FunctionsR: *only one number*
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Linear Segments Domain: {leftmost point < x < rightmost point}
Range: {bottom-most point < y < top-most point}
![Page 10: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/10.jpg)
Parabolas: …where n is even
Domain: All Reals
Range: -For downwards parabola: y < maximum-For upwards parabola: y > minimum
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Cubics: …where n is odd
Domain: All Reals
Range: All Reals
![Page 12: 4.2 DAY 2 WRITING DOMAIN AND RANGE AS INEQUALITIES Today’s Goal: -To write the domain and range using an inequality. -To understand the domain and ranges](https://reader034.vdocument.in/reader034/viewer/2022052510/56649dd45503460f94acca14/html5/thumbnails/12.jpg)
Exponentials:
Domain: All Reals
Range: -For downwards Graph, y < k-For upwards Graph, y > k -The line at k is known as an asymptote
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Fractions
Domain: All Reals except for where denominator is zero
Range: All Reals except for y = 0