Question: What is the domain of this exponential function?
y = 2^x
{x | x \geq 0}
{x | x \geq 2}
{x | x > 0}
all real numbers
{x | x > 2}
1. **State the problem:** We need to find the domain of the exponential function $$y = 2^x$$.
2. **Recall the domain rule for exponential functions:** The domain of an exponential function $$y = a^x$$, where $$a > 0$$ and $$a \neq 1$$, is all real numbers because you can raise a positive base to any real exponent.
3. **Apply the rule:** Since $$2 > 0$$ and $$2 \neq 1$$, the domain of $$y = 2^x$$ is all real numbers.
4. **Express the domain:** In set notation, the domain is $$\{ x \mid x \in \mathbb{R} \}$$, which means all real numbers.
**Final answer:** The domain of $$y = 2^x$$ is all real numbers.