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Verified Answer :

The equation which is not exponential is the  first one: y = 1^x.
The reason for this is because 1 to the power of anything is still one, which means the equation is linear, and not exponential. The rest of these equations are indeed exponential. 

Answer:

\(y=1^x\) is not exponential function.

A is correct

Step-by-step explanation:

Given: \(y=ab^x\)

We need to choose exponential equation. The property of exponential equation.

Possible value of b

If b>1 then exponential growth

If 0<b<1 then exponential decay

Option 1: \(y=1^x\)

Compare with exponential equation

\(1^x=ab^x\)

\(b\rightarrow 1\)

It is not exponential function.

Option 2: \(y=(\frac{1}{2})^x\)

Compare with exponential equation

\((\frac{1}{2})^x^x=ab^x\)

\(b\rightarrow \frac{1}{2}\)

It is decay exponential function.

Option 3: \(y=-2^x\)

Compare with exponential equation

\(-2^x=ab^x\)

\(b\rightarrow 2\)

It is Growth exponential function.

Hence, \(y=1^x\) is not exponential function.