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The function f (x) = x^4 has an axis of symmetry the vertical axis y.

True or False?

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asked by Marian
  1. True.
    One way to check is of course to plot the given function. You'll see it has an axis of symmetry at y-axis.
    Another way is to replace x with -x. If the resulting function is the same as the original, it has an axis of symmetry at the y-axis. Like, in the given function,
    f(x) = x^4
    f(-x) = (-x)^4
    f(-x) = x^4 = f(x)

    Hope this helps~ :)

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    posted by Jai
  2. YES!!!! thank you very much!!

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    posted by Marian

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