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Verified Answer :

The answer is C. Hope this helps. :)

Answer:

The correct option is C.

Step-by-step explanation:

The general form of an exponential function is

\(f(x)=ab^x\)

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

\(f(x)=kg(x)\)

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

\(f(x)=kb^x\)

where, b>1 and k>1.

Only in option C,

\(k=\frac{3}{2}>1\)

\(b=\frac{3}{2}>1\)

Therefore, the correct option is C.