Which of these is an exponential function? $$ y=2^{x} y=\frac{1}{2} x $$

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Among the given functions:

1. **$$ y = 2^{x} $$**
2. **$$ y = \frac{1}{2} x $$**

**$$ y = 2^{x} $$** is an **exponential function**.

### Explanation:

- **Exponential Function:** A function of the form $$ y = ab^{x} $$, where:
  - $$ a $$ is a constant (the initial value),
  - $$ b $$ is the base of the exponential (a positive real number not equal to 1),
  - $$ x $$ is the exponent.

In **$$ y = 2^{x} $$**:
  - $$ a = 1 $$,
  - $$ b = 2 $$,
  - which fits the exponential form.

- **Linear Function:** A function of the form $$ y = mx + c $$, where:
  - $$ m $$ is the slope,
  - $$ c $$ is the y-intercept.

In **$$ y = \frac{1}{2} x $$**:
  - This is a linear function with slope $$ \frac{1}{2} $$ and no y-intercept ($$ c = 0 $$).

Therefore, **$$ y = 2^{x} $$** is the exponential function.
$$ y = 2^{x} $$ is an exponential function.

Which of these is an
exponential function?

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