Question

Which graph passes the vertical line test? A. Graph shows an upward opening parabola plotted on a coordinate plane. Parabola has its vertex at (2.9, minus 1.2). The left and the right slopes are at (minus 3.5, 0) and (2, 2.5). B. Graph shows a curve plotted on a coordinate plane. Curve begins at (2.5, 3.5), goes through (0, 2.2), (minus 1, 1.2), (minus 1.2, 0.2), (0, 0.2), (0.8, 0), (2, 1.2), and ends at (2.5, 3.5). C. Graph shows a curve plotted on a coordinate plane. Curve begins at (minus 3.4, minus 1.8) in quadrant 3, rises and goes through (minus 2.5, 0), (minus 1, 1.5) in quadrant 2, passes through (0, 1.8), (1, 1.9) and ends at (5, 1.2) in quadrant 1. D. Graph shows an ellipse plotted on a coordinate plane. The ellipse is centered at (1.5, 0) and passes through (minus 0.5, 0), (1.5, 2.5), (3.2, 0), and (1.5, minus 2.2).

Answer 1

The graph that passes the vertical line test is option B.

The vertical line test is a method used to determine whether a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

In option B, the curve plotted on the coordinate plane does not intersect any vertical line more than once, indicating that each x-value corresponds to a unique y-value and therefore represents a function.