Which of the following is an
exponential function?

Ask by Clarke Boyd. in the United States

Jan 23,2025

Question

Which of the following is an exponential function? $$ y=3^{x} \quad y=2 x^{3} \quad y=x^{1 / 2} $$

UpStudy AI · Accepted Answer

Among the given functions:

1. **$$ y = 3^{x} $$**  
   This is an **exponential function** because the variable $$ x $$ is in the exponent. It follows the general form $$ y = a \cdot b^{x} $$, where $$ a = 1 $$ and $$ b = 3 $$.

2. **$$ y = 2x^{3} $$**  
   This is a **polynomial function** where $$ x $$ is raised to the power of 3.

3. **$$ y = x^{1/2} $$**  
   This is a **radical function** (specifically, the square root of $$ x $$).

**Conclusion:**  
The exponential function among the options provided is **$$ y = 3^{x} $$**.

**Answer:**  
Only the first function, $$ y = 3^{\,x} $$, is an exponential function.
$$ y = 3^{x} $$ is the exponential function.

Which of the following is an
exponential function?

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