Question

How do you determine if the equation `y=10(1.1)^x` represents exponential growth or decay?

Answer 1

Exponential growth.

Explanation:

`y=10 (1.1)^x=10e^(x ln 1.1)`

`y'=(10 ln 1.1)e^(x ln 1.1)=(10 ln 1.1)(1.1)^x=0.9531(1.1)^x>0.`

So, y is an exponentially increasing function

Note that, `(1.1)^x=e^(x ln 1.1)>0`, for any x...
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