Determine whether the graph of the equation is symmetric with respect to the x -axis, y -axis, origin, or none of these. Given g ( x ) = x 8 + |3 x

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Determine whether the graph of the equation is symmetric with respect to the x-axis, y-axis, origin, or none of these.

  1. Given g(x) = −x8 + |3x|, find g(−x)
  2. Is g(−x) = g(x)?
  3. Is this function even, odd, or neither?

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