1. The problem is to explain how to find the range of a function. 2. The range of a function is the set of all possible output values (values of $y$) that the function can produce. 3. To find the range, you can start by analyzing the function's domain (all possible inputs). 4. Next, express the function in terms of $y = f(x)$. 5. Solve for $x$ in terms of $y$ when possible, or analyze the function's behavior (e.g., using derivatives or considering limits). 6. Identify any restrictions on $y$ based on the function's nature, such as values that cause division by zero or negative values under a square root. 7. Alternatively, sketching or plotting the function can help visualize which $y$ values appear. 8. The collection of all such $y$ values forms the range. 9. Example: For $f(x) = x^2$, since $x^2 \ge 0$ for all $x$, the range is $[0, \infty)$.