# How do you determine if the equation #f(x) = 5(1/6)^x# represents exponential growth or decay?

##### 1 Answer

Logic corrected!

#### Explanation:

Total rewrite!

Consider the case of:

We have:

Thus as the magnitude of negative

So as {x: x < 0} increases (moved to the right) it is the reverse of what I previously wrote, so we have decay.

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Consider the case of

We have:

also we have:

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Consider the case of

The denominator of

So

This means that

So again we have decay

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In conclusion: the equation is in decay