Question

True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

Answer 1

Hi there!

$\large\boxed{\text{False.}}$

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.