Subjects algebra

Vertical Line Test 39B9F3

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1. The problem is to determine which of the six given graphs represent functions using the vertical line test. 2. The vertical line test states that a graph represents a function if and only if no vertical line intersects the graph at more than one point. 3. Analyze each graph: - Graph 1: Scatter plot with distinct points, no vertical line passes through more than one point, so it is a function. - Graph 2: V-shaped graph (absolute value type), passes vertical line test, so it is a function. - Graph 3: Piecewise segments with no vertical line intersecting more than once, so it is a function. - Graph 4: Inverted triangle shape, vertical lines through the top segment intersect twice, so not a function. - Graph 5: Sideways curve with two branches opening right, vertical lines intersect twice, so not a function. - Graph 6: Scatter plot with points at (1,0) and (1,1), vertical line at x=1 intersects twice, so not a function. 4. Final answer: Graphs 1, 2, and 3 represent functions.