The document discusses functions, their periods and x-values where the function equals a given value. It also describes using fingers to multiply numbers, with examples showing how to use fingers to calculate 8x8. The document goes on to discuss performing transformations on functions like stretching, compressing and shifting graphs, as well as analyzing a dataset about car mileage over years.

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5. We knew the period of the function
2pi
was pretty much automatically
__________
b
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6. Give two x­values in which y = d
took a bit more thinking. We then
figured out that for y to = d the sine
term must end up equalling 0 and it
does that at 2pi and pi
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7. We then delved back into our earlier
grades and learned an easy way to do
times tables with our hands
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8. First apply values to the fingers of
your hands. Your thumbs are six and
your other fingers go up to nine in
order on both hands with your pinky
being nothing
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9. Then you attach the two fingers that
you wish to multiply with your thumbs
facing up.
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10. Then you attach the two fingers that
you wish to multiply with your thumbs
facing up.
You then count the fingers facing up
and that is your tens digit (including
the two fingers that are touching).
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11. Then you look at the bottom and
multiply the rest of the fingers on
your left hand with the rest of your
fingers on your right hand.
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12. example: 8x8
Touch two middle fingers together
Six fingers are on top so the number
is sixty­something.
Then you have two fingers on the
bottom of your left hand and two on
the right.
Multiply....
and it's four added to your sixty is 64!
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13. We continued on to some exercised
which were pretty straight forward...
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14. We then had a couple of
transformations to perform:
y = x^3; vertical stretch by 2, shift
down 4
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15. y = x^2; horizontal compression of 1/2
shifted up 1
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16. Then one last question...
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17. Check out Mr.K's slides if you want
better clarity because I can't screen
capture the slideshow when it is in
fullscreen mode
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18. The first three parts is just plotting and
calculating with your calculator. Then
we had discussion on which is the best
deal. We decided on 1985 or 1994.
1985 for reasons that I cannot
remember.
1994 because it is the newest with the
least mileage.
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19. The meeting of the intercepts:
Y­intercept: year 0, long long time
ago...
X ­ intercept: from this value on the
data no longer makes sense as the
cars would have negative mileage
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