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What is the function of the x-axis in a Cartesian plane?

  1. It is the x-intercept and divides the plane into four sections.

  2. It is the y-intercept and divides the plane into four sections.

  3. It is the origin and divides the plane into two sections.

  4. It is the axis of symmetry and divides the plane into two sections.

The correct answer is: It is the axis of symmetry and divides the plane into two sections.

The function of the x-axis in a Cartesian plane is to serve as the axis of symmetry. This means that points reflected across the x-axis will have the same x-coordinate, but a different y-coordinate. Option A is incorrect because the x-axis is not the x-intercept, which is the point where the graph crosses the x-axis. It also does not divide the plane into four sections, as this is the function of the y-axis. Option B is incorrect because the x-axis is not the y-intercept, which is the point where the graph crosses the y-axis. It also does not divide the plane into four sections, as this is the function of the y-axis. Option C is incorrect because the x-axis is not the origin, which is the point (0,0) where the two axes intersect. It also does not divide the plane into two sections, as this is