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Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Understand the definition of a function using the vertical line test.

    A graph represents a function if and only if every vertical line drawn through the graph intersects the graph at most once. If a vertical line intersects the graph at two or more points, then it is not a function.

  2. Apply the vertical line test to "Gráfico 3".

    "Gráfico 3" shows a parabola that opens downwards.
    Imagine drawing vertical lines across this graph. For any given x-value, a vertical line will intersect the parabola at exactly one point. For example, at x=0x=0, the graph intersects at y=0y=0. At x=1x=1 or x=−1x=-1, the graph intersects at approximately y=−1y=-1. At x=2x=2 or x=−2x=-2, the graph intersects at approximately y=−4y=-4.

  3. Conclude based on the vertical line test.

    Since every vertical line intersects the graph of "Gráfico 3" at exactly one point, it satisfies the condition for being a function.

    Therefore, "Gráfico 3" represents a function.

    Gráfico 3 represents a function.

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