TCC Math 1513Peterson

Paypah Foldin’

Q: Before you start, describe what a negative exponent means.

For example, what’s another way to write 2−2? What about ( 12 )−2

?

A:

a) Fold this paper once. How many sections did you create? _________ What’s the fractional area of each section? ___________

b) Fold this paper again. How many sections now? ___________What’s the fractional area of each section? ___________

c) Go ahead and fold it one more time. How many sections do you have? __________What’s the fractional area of each section? ___________

Fill in the chart…

Number of Folds Number of Sections Created Fractional Area of Each Section0123x

So if x is the number of folds and if f (x) is the number of sections created, then f (x)=¿______________.

Similarly, if x is the number of folds and g(x ) is the fractional area of each section, then g ( x )=¿ _____________.

Fill in some more charts. Use the charts to sketch the graphs of f (x) and g(x ) on the same set of axes.

x f ( x )=¿_________________ g ( x )=¿ _________________

-3

-2

-1

0

1

2

3