Question

Which function represents exponential decay?

o
Of(x) =
f(x) =
px) -1
o f(x) = 4(-1)
MX) = 4(1)
o
0

Answer 1

anyhow, in short what we have in the exponential functions is a initial value, the number outside the parentheses and the rate of change, the number inside the parentheses.

so the short version of it is, if the rate, the number in the parentheses is larger than 1, we have a Growth function, if the rate is less than 1, we have Decay,
`4\left( -(2)/(3) \right)^x` doesn't work because it alternates from negative to positive depending on the value of "x" whether is odd or even, so the only one that fits the bill is
`4\left( (2)/(3) \right)^x`, notice, 2/3 is less than 1. thus Decay.