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college algebra

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for the given equation list the intercepts and test for symmetry
y = x^3 -512

  • college algebra -

    You know what the graph of x^3 looks like, so this one is just the same curve shifted down by 512 units.

    One x-intercept at x=8
    one y-intercept at y=-512
    no symmetry, since the function is neither even nor odd.

    Actually, there is radial symmetry about the point (0,-512) but that is not usually the intent.

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