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Characteristics of Exponential Functions

we call functions like this "exponential" because *x* is in the exponent

When you put your money in the bank… of course it matters.

In the big scheme of things there is no difference as long as we take a number greater than one and keep multiplying it with itself repeatedly we see a similar curve:

in other words: the straight green line (linear) is above the blue (exponential) curve

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1% or 10% or 100% interest… does it change the picture?

Slow exponential growth is sub-linear