#1**0 **

If the number that is being raised to the power of t is in the interval (0, 1) , it is exponential decay.

If the number that is being raised to the power of t is greater than 1 , it is exponential growth.

For example,

y = 3.7(0.2)^{t} Here, 0.2 is being raised to the power of t .

0.2 is in the interval (0, 1) so this equation represents exponential decay.

See if you can figure out the others.

And for this one...

g(x) = 2.1(x)

Here, there is no exponent. So this equation is neither exponential growth nor exponential decay.

hectictar
Feb 12, 2018