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