Subjects algebra

Exponential Domain 3D0462

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1. **State the problem:** We need to find the domain of the exponential function shown in the graph. 2. **Recall the domain of exponential functions:** The domain of any exponential function of the form $y = a^x$ (where $a > 0$ and $a \neq 1$) is all real numbers because you can raise a positive base to any real exponent. 3. **Analyze the graph:** The graph shows an exponential curve that approaches but never touches the x-axis, indicating the function is defined for all $x$ values. 4. **Conclusion:** Therefore, the domain of the function is all real numbers, which can be written as: $$\text{Domain} = (-\infty, \infty)$$ This means you can input any real number for $x$ and get a valid output for $y$.