请帮我解答这道题---**Textual Information:** * **Question Number:** ① * **Question Stem:** 若函数 $y=f(x)$ 的定义域为 $\{x|-3 \le x \le 8, x \ne 5\}$, 值域为 $\{y|-1 \le y \le 2, y \ne 0\}$, 则 $y=f(x)$ 的图象可能是 * **Options:** * A: [Graph] * B: [Graph] * C: [Graph] * D: [Graph] * **Figure Label:** 图 K4-1 * **Answer Placeholder:** ( ) **Chart/Diagram Description:** The image displays a question asking to identify the possible graph of a function given its domain and range. Below the question stem are four options (labeled A, B, C, D), each containing a graph plotted on a 2D coordinate system. Each coordinate system has an X-axis and a Y-axis intersecting at the origin (labeled O). Specific values are marked on the axes: -3, 5, and 8 on the X-axis, and -1 and 2 on the Y-axis. Dashed lines extend from these marked values to indicate boundaries or specific x/y coordinates relevant to the graphs. * **Option A:** * **Type:** Line chart composed of line segments. * **Main Elements:** The graph consists of three connected line segments. It starts at x = -3 with y > 0, goes down and crosses the x-axis, then goes up to some point near x = 5, then drops down and crosses the x-axis again, and ends at x = 8 with y > 0. There appears to be a point or connection issue around x = 5. The y-values range approximately from -1 to 2. * **Details:** The graph appears to pass through approximately (-3, 1.5), crosses the x-axis around x=1, reaches a point around (5, 2), drops to a point around (5, 2), crosses the x-axis around x=7, and ends at (8, 0.5). It clearly crosses the x-axis (where y=0). * **Option B:** * **Type:** Curve segments. * **Main Elements:** The graph consists of two disconnected parts, separated by a vertical gap around x = 5. The left part starts at (-3, 2), curves downwards towards x = 5, potentially approaching some positive y-value. It also passes through (0, -1) and curves upwards towards x = 5, potentially approaching some negative y-value. The right part starts from around x = 5 with some positive y-value, curves upwards to (8, 2). It also starts from around x = 5 with some negative y-value, curves downwards to (8, -1). * **Details:** The graph appears to remain above the x-axis for the positive part and below the x-axis for the negative part, suggesting y is never equal to 0. There is a vertical dashed line at x=5 indicating a discontinuity or undefined point. The graph seems to stay within the y-range [-1, 2]. * **Option C:** * **Type:** Curve. * **Main Elements:** A single continuous curve that starts at (-3, -1) and curves upwards and to the right, then changes direction and curves downwards to (8, 2) and continues to (8, -1). * **Details:** This graph fails the vertical line test for x > 5, meaning for a single x-value (e.g., x=7), there are multiple y-values. It also appears to cross the x-axis. * **Option D:** * **Type:** Line segments and a curve segment. * **Main Elements:** The graph starts at (-3, 2), goes downwards as a line segment, crosses the x-axis, reaches a point at (5, y) with an open circle, indicating the point (5, y) is not included. From x=5 with an open circle at a different y-value, the graph continues as a curve and a line segment, crossing the x-axis again, and ending at (8, -1). There is a dashed line at x=5. * **Details:** The graph clearly crosses the x-axis (where y=0) at least twice. There is an open circle at x=5, indicating that x=5 is excluded from the domain, and potentially that f(5) is undefined or has a different value. The y-values range from -1 to 2.