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Marcar la casilla correspondiente a cada gráfico que represente una función.

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 1".

    Observe the points plotted on "Gráfico 1":

    • At x=−3x = -3, there is one point (−3,−1)(-3, -1).
    • At x=−2x = -2, there is one point (−2,−2)(-2, -2).
    • At x=−1x = -1, there is one point (−1,2)(-1, 2).
    • At x=0x = 0, there is one point (0,−1)(0, -1).
    • At x=1x = 1, there is one point (1,0)(1, 0).
    • At x=2x = 2, there is one point (2,−2)(2, -2).
    • At x=3x = 3, there is one point (3,−3)(3, -3).
  3. Conclude based on the vertical line test.

    For every x-value in "Gráfico 1", there is only one corresponding y-value. This means that no vertical line would intersect more than one point on the graph. Therefore, "Gráfico 1" represents a function.

    Since only "Gráfico 1" is visible, we can only evaluate this graph.

    The graph that represents a function is:
    Gráfico 1

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