Question

Tell whether the function shows growth or decay f(X)=32(0.5)x

Answer 1

This function might be a bit clearer for you and for potential helpers if written as \[32(0.5)^{X}\]

Answer 2

\[y=a*b ^{nx}\]his has the form of an exponentially increasing function:

The corresponding decay function would look the same, EXCEPT that the exponent of b would be negative.

Answer 3

to be more specific:

Your \[y=32(.5)^{x}\] represents exponential growth because that x is positive;

whereas

\[y=32(.5)^{-x}\] would represent exponential decay.