Questions: Is the following an exponential function? y=3^2

Is the following an exponential function?
y=3^2
Transcript text: Is the following an exponential function? \[ y=3^{2} \]
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Solution

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Solution Steps

To determine if y=32 y = 3^2 is an exponential function, we need to understand the definition of an exponential function. An exponential function is typically in the form y=ax y = a^x , where a a is a constant and x x is a variable. In this case, y=32 y = 3^2 is a constant value, not a function of a variable x x . Therefore, it is not an exponential function.

Step 1: Understanding the Definition of Exponential Functions

An exponential function is defined as a function of the form y=ax y = a^x , where a a is a constant and x x is a variable. This means that the output y y depends on the variable x x .

Step 2: Analyzing the Given Expression

The expression given is y=32 y = 3^2 . Here, 32 3^2 evaluates to 9 9 , which is a constant value. Since there is no variable x x present in the expression, it does not fit the definition of an exponential function.

Step 3: Conclusion

Since y=32 y = 3^2 does not involve a variable and is simply a constant, it is not classified as an exponential function.

Final Answer

The answer is No\boxed{\text{No}}.

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