分析并绘制该题的函数图像---**Other Relevant Text:** 二、由图像求解析式 **Question Stem:** 1. 已知函数 y = f(x) 的图像如图所示，则此函数可能是( ) **Chart/Diagram Description:** * **Type:** 2D Cartesian Coordinate System with a function graph. * **Main Elements:** * **Coordinate Axes:** A horizontal X-axis labeled 'x' and a vertical Y-axis labeled 'y'. The origin is marked as 'O'. * **Function Graph:** The graph represents a function y = f(x). * The graph passes through the origin (0,0). * It exhibits odd symmetry, meaning it is symmetric with respect to the origin (f(-x) = -f(x)). * It has vertical asymptotes very close to x = 0. Specifically, as x approaches 0 from the left, y approaches positive infinity. As x approaches 0 from the right, y approaches negative infinity. * The function oscillates, crossing the x-axis multiple times, resembling a sinusoidal wave combined with a factor that causes the asymptote at x=0. * For x > 0, the function starts from negative infinity (just right of x=0), increases to a local maximum, then decreases, crosses the x-axis, reaches a local minimum, then increases and crosses the x-axis again. * For x < 0, the function starts from positive infinity (just left of x=0), decreases to a local minimum, then increases, crosses the x-axis, reaches a local maximum, then decreases and crosses the x-axis again. **Options:** * A. f(x) = sin(6x) / (2^(-x) - 2^x) * B. f(x) = sin(6x) / (2^x - 2^(-x)) * C. f(x) = cos(6x) / (2^(-x) - 2^x) * D. f(x) = cos(6x) / (2^x - 2^(-x))