Given the function find absolute extrema?

Given f(x)=x^3-12x+1 find the absolute extrema .

Please show steps/work thank you

1 Answer

  • 1 month ago

    It's an odd degree polynomial with a leading coefficient that is positive. Its ending behavior is that it will go up to infinity on the right and down to -∞ on the left.

    So its absolute extrema are -∞ as a global minimum and ∞ as a global maximum.

    If you take the derivative and set it to zero, you'll find a local minimum and a local maximum but not the absolute extrema.

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