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Exponentials!

Exponentials!. Question…. How many times must you fold a sheet of paper in half, in order for it to have the thickness to reach the moon?. Answer. Believe it or not, the answer is a mere… 45! How is this possible? Click there. First. Is it possible to fold paper 42 times? Click there

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Exponentials!

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  1. Exponentials!

  2. Question… • How many times must you fold a sheet of paper in half, in order for it to have the thickness to reach the moon?

  3. Answer • Believe it or not, the answer is a mere… 45! How is this possible? Click there.

  4. First • Is it possible to fold paper 42 times? Click there • Get out a sheet of paper and fold it in half as many times as you can. • How many did you get?

  5. Exponential Functions • Exponential functions have a base form just like any other function. • But first let’s define an exponential function. • Exponential function – a function where the independent variable is in the exponent!

  6. General form and example

  7. Can we make a function out of paper folds? • Folds Thickness

  8. What is the initial value? • What is the growth rate? • Y = 1(2)x

  9. What about the area of the paper?

  10. Also an exponential • Y = (1/2)x

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