Question

How do you determine if `y=0.4(1/3)^x` is an exponential growth or decay?

Answer 1

`y=0.4(1/3)^x` is an exponential decay

Explanation:

Since `(1/3) in (0,1)`

as `xrarr oo`
`color(white)("XXX")(1/3)^x rarr 0`

and if `(1/3)^x rarr 0`
then
`color(white)("XXX")`so does `0.4(1/3)^x`