The function is \( y = \frac{6}{x^2 – x} \). Which is a vert…
The function is \( y = \frac{6}{x^2 – x} \). Which is a vertical asymptote of this function? The x-axis spans from below negative 5 to beyond 5, and the y-axis spans from below negative 40 to above 20. The x-axis has a scale of 5 in increments of 1, and the y-axis has a scale of 20 in increments of 5. The red rational function consists of two convex curves in the first and second quadrants, with a narrow, bounded region with single peak below the x-axis. The first-quadrant convex curve starts from positive infinity near the vertical line x = 1, decreases sharply, and then approaches the horizontal asymptote along the positive x-axis. The second quadrant convex curve starts from positive infinity near x = 0, decreases toward the negative x-axis, and extends horizontally. A single narrow peak appears in the fourth quadrant near the point (0.5, negative 24), where the function briefly rises before decreasing again. This localized fluctuation is confined to a narrow, bounded region in between x = 0 and x = 1.
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