1. **State the problem:** Find the domain and range of the function $$y=2x+3$$. 2. **Recall definitions:** - The **domain** of a function is the set of all possible input values ($x$) for which the function is defined. - The **range** is the set of all possible output values ($y$) the function can take. 3. **Analyze the function:** The function $$y=2x+3$$ is a linear function with no restrictions like division by zero or square roots of negative numbers. 4. **Domain:** Since there are no restrictions on $x$, the domain is all real numbers. 5. **Range:** Because the function is linear with a non-zero slope, as $x$ takes any real value, $y$ will also take all real values. 6. **Final answer:** - Domain: $$(-\infty, \infty)$$ - Range: $$(-\infty, \infty)$$