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    emily1994's Avatar
    emily1994 Posts: 2, Reputation: 1
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    #1

    Nov 6, 2011, 11:53 AM
    consider the function f(x)=x^4 - 2x^2, when is the function above the x-axis?
    consider the function f(x)=x^4 - 2x^2, when is the function above the x-axis?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Nov 7, 2011, 08:26 AM
    You can factor the equation and find its roots (i.e. values for x where f(x)=0). Then check some sample values for x that are between the roots, less than the lowest root, and greater than the highest root. This will give you a good idea how f(x) behaves.
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