Answer:
The correct option is C.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
If b>1, then f(x) is a growth function and if 0<b<1, then f(x) is a decay function.
Stretch and compression is defined as
[tex]f(x)=kg(x)[/tex]
If |k|>1, then k is stretch factor and if |k|<1, then k is compression factor.
Since the function is stretch of an exponential growth function, therefore the function is in the form of
[tex]f(x)=kb^x[/tex]
where, b>1 and k>1.
Only in option C,
[tex]k=\frac{3}{2}>1[/tex]
[tex]b=\frac{3}{2}>1[/tex]
Therefore, the correct option is C.
