Question

Please help.
Without graphing, determine whether the function
y = 7 (2/3)^x represents exponential growth or exponential decay. explain or show why.

Answer 1

For a function of the form \(f(x) = b^x\) (note the positive power x)

If b > 1, then the function represents exponential growth

If 0<b<1, then the function represents exponential decay

The base of your problem is 2/3, and the power is positive, so this is exponential decay.