Question

Exponential Decay
Find f(3), where f(x) = 2x(1/2)^x

Answer 1

f(x) = 2 * (1/2)^x

f(3) = 2 * (1/2)^3

f(3) = 2 * (1/2 * 1/2 * 1/2)

f(3) = 2 * 1/8

f(3) = 2/8

f(3) = 1/4

Hope this helps!

Answer 2

`f(x) = 2 * ( { (1)/(2) })^(x) \\ \\ f(3) = 2 * ({ (1)/(2)})^(3) \\ \\ = 2 * (1)/(8) \\ \\ f(3) = (1)/(4) = 0.25`