1. The problem asks for the range of a function, which is the set of all possible output values (y-values) the function can take. 2. The range depends on the function's behavior and domain, but since the function is not explicitly given, we analyze the options: - a. $\{-8, \infty)\$ means the function outputs values starting from -8 and increasing without bound. - b. $(-\infty, 7\}$ means the function outputs values up to 7, including 7, but no values greater than 7. - c. all real numbers means the function can output any real number from $-\infty$ to $\infty$. 3. Without the explicit function, we cannot determine the exact range, but these are common types of ranges for functions such as: - a. Functions with a minimum value at -8 and increasing (e.g., $f(x) = x^2 - 8$ shifted appropriately). - b. Functions with a maximum value at 7 and decreasing (e.g., $f(x) = -x^2 + 7$). - c. Functions like linear functions $f(x) = x$ which have all real numbers as range. 4. To find the range of a specific function, you would: - Identify the function's formula. - Determine its domain. - Analyze its behavior (increasing, decreasing, bounded, unbounded). - Find minimum and maximum values if they exist. Since the problem only lists possible ranges without a function, the answer depends on the function given. Final answer: The range is one of the sets listed depending on the function's behavior.