Questions: Is the following an exponential function?
y=3^2
Transcript text: Is the following an exponential function?
\[
y=3^{2}
\]
Solution
Solution Steps
To determine if y=32 is an exponential function, we need to understand the definition of an exponential function. An exponential function is typically in the form y=ax, where a is a constant and x is a variable. In this case, y=32 is a constant value, not a function of a variable 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, where a is a constant and x is a variable. This means that the output y depends on the variable x.
Step 2: Analyzing the Given Expression
The expression given is y=32. Here, 32 evaluates to 9, which is a constant value. Since there is no variable x present in the expression, it does not fit the definition of an exponential function.
Step 3: Conclusion
Since y=32 does not involve a variable and is simply a constant, it is not classified as an exponential function.