A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able...
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Transcript of A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able...
![Page 1: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/1.jpg)
A SUMMARY OF CURVE SKETCHING
A SUMMARY OF CURVE SKETCHING
Section 3.6
![Page 2: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/2.jpg)
When you are done with your homework, you should
be able to…
Analyze and sketch the graph of a function.
![Page 3: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/3.jpg)
Diophantus lived in 300AD. He was the most famous algebraist of the ancient
world. He started the subject of Diophantine Analysis. This is the study
of…
A. Trigonometry.B. Physics.C. Integer solutions to equations.D. Probability.
![Page 4: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/4.jpg)
GUIDELINES FOR ANALYZING THE GRAPH OF A FUNCTION
1. Determine the domain and range of the function.
2. Determine the intercepts of the graph.3. Determine the asymptotes of the
graph.4. Determine the symmetry of the graph.5. Locate the x-values for which and
either are 0 or do not exist. Use these results to determine relative extrema, concavity, and points of inflection.
f x f x
![Page 5: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/5.jpg)
EXAMPLE: DISCUSS AND SKETCH THE GRAPH OF
Step 1: Find domain
Step 2: Find Intercepts
Step 3: Find Asymptotes.
2 1
xy
x
![Page 6: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/6.jpg)
EXAMPLE (CONTINUED): DISCUSS AND SKETCH THE
GRAPH OF
Step 4: Symmetry
Step 5: Find critical values for f and f’
2 1
xy
x
![Page 7: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/7.jpg)
DISCUSSION…Input value
or open interval
Conclusiony y y
![Page 8: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/8.jpg)
2 1
xy
x
![Page 9: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/9.jpg)
I LIKE USING THE CLICKERS DURING CLASS.
A. Strongly AgreeB. AgreeC. DisagreeD. Strongly Disagree
![Page 10: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/10.jpg)
I THINK YOU SHOULD USE THE CLICKERS NEXT
SEMESTER.
A. Strongly AgreeB. AgreeC. DisagreeD. Strongly Disagree
![Page 11: A SUMMARY OF CURVE SKETCHING Section 3.6. When you are done with your homework, you should be able to… Analyze and sketch the graph of a function.](https://reader036.fdocuments.net/reader036/viewer/2022082820/5697bfa51a28abf838c9770b/html5/thumbnails/11.jpg)
I LIKE IT WHEN YOU WRITE USING THE COMPUTER INSTEAD OF THE
WHITEBOARD.
A. Strongly AgreeB. AgreeC. DisagreeD. Strongly Disagree