Please work with a partner or alone (no groups of 3 – 1 or 2 only) to make a mini-poster (just use a sheet of blank paper) explaining one of the topics below.
Notes:
- This is due at the end of class today.
- No more than 2 people per topic – write your name next to the one you choose, to claim it. They are equally difficult, more or less, so no rushing the table.
- Use the calculators, rulers, markers, whatever on the table – just be sure to return it all to its proper place.
- You will be graded on accuracy and clarity. If you are unsure about anything in your topic, look it up in a textbook (shelf by the door) or online, or ask a classmate to help you. The poster should be clear enough that we can put it on the wall and visitors to our room will understand immediately.
- All posters should include both written explanations and pictures/graphs, properly labeled.
Topics:
1. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=1/x. |
2. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=|x|. |
3. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=ex. |
4. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=ln(x). |
5. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=2x. |
6. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=log10(x). |
7. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using y=x2. |
8. Explain all of the transformations (up/down, left/right, stretch/shrink, reflect over x or y), using the y=x3. |
9. Explain domain and range, using the following functions: y=ex, y=ln(x), and y= -|x| + 6. |
10. Explain domain and range, using the following functions: y=1/(x-3) + 5, y=(x+2)2 – 3, and y=|x| - 7. |
11. Explain domain and range, using the following functions: y=2/x - 4, y=0.5x2 + 1, and y=x3. |
12. Explain piecewise functions and discontinuities, using the functions f(x) = int(x) and g(x) = x2 if x<-1 3 if -1≤x<3 x if x≥3 |
13. Explain piecewise functions and discontinuities, using the functions f(x) = -2x+5 if x<-2 and g(x) = 3x+2 if x<-4 x3 if x≥-2 -x -14 if x≥-4 |
14. Explain piecewise functions and discontinuities, using the functions f(x) = x2 if x<0 and g(x) = 4x - 2 if x< 2 1/(x+1) if x>0 6x - 5 if x≥2 |
15. Explain piecewise functions and discontinuities, using the functions f(x) = int(x) – 2 and g(x) = 3x - 2 if x<-1 -x + 5 if -1≤x<3 |
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