2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify...
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Transcript of 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify...
![Page 1: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/1.jpg)
2.7 Graphs of Rational Functions
![Page 2: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/2.jpg)
Steps of Graphing
1. Find the domain of the function
2. Simplify the function
3. Find and plot the y-intercept by evaluating f(0)
4. Find and plot the x-intercept by solving N(x) = 0
5. Find and graph the vertical asymptotes by solving D(x) = 0
6. Find and graph the horizontal asymptotes by comparing the degrees
7. If no HA, find and graph the slant asymptote by dividing N(x)/D(x)
8. Find additional points in between each x-int and VA
9. Draw smooth curves to complete the graph
![Page 3: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/3.jpg)
Graph
![Page 4: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/4.jpg)
Graph
![Page 5: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/5.jpg)
Graph
![Page 6: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/6.jpg)
Graph
![Page 7: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/7.jpg)
1.
2.
![Page 8: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/8.jpg)
HomeworkPg 157-158 #15, 21, 23, 47, 50
![Page 9: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/9.jpg)
WAC Type 3
FCA1: Compare and contrast vertical asymptotes and holes in rational functions. (2pts)
FCA2: Compare and contrast horizontal asymptotes and slant asymptotes in rational functions. (2pts)
FCA3: All answers must be written in complete sentences. (2pts)
![Page 10: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/10.jpg)
Graph
![Page 11: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/11.jpg)
Graph
![Page 12: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/12.jpg)
Graph
![Page 13: 2.7 Graphs of Rational Functions. Steps of Graphing 1. Find the domain of the function 2. Simplify the function 3. Find and plot the y-intercept by evaluating.](https://reader036.fdocuments.us/reader036/viewer/2022082816/56649d815503460f94a666be/html5/thumbnails/13.jpg)
Find the range