Answer:f(x) = Three-halves (three-halves) Superscript x
f(x) = Two-thirds (three-halves) Superscript x
Since, a function in the form of f(x) = ab^x
Where, a and b are any constant,
is called exponential function,
There are two types of exponential function,
Growth function : If b > 1,
Decay function : if 0 < b < 1,
Since, In
f(x) =\frac{2}{3}(\frac{2}{3})^x
\frac{2}{3} < 1
Thus, it is a decay function.
in f(x) =\frac{3}{2}(\frac{2}{3})^x
\frac{2}{3} < 1
Thus, it is a decay function.
in f(x) =\frac{3}{2}(\frac{3}{2})^x
\frac{3}{2} > 1
Thus, it is a growth function.
in f(x) =\frac{2}{3}(\frac{3}{2})^x
\frac{3}{2} > 1
Thus, it is a growth function.
Step-by-step explanation: