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Emma
Emma asked in Science & MathematicsMathematics · 5 months ago

Is this true or false for the polynomial?

F(x) = 1 - 2x - 3x^4 

as 

x -----> ∞            f(x) -------> - ∞

a) true 

b) false 

2 Answers

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  • llaffer
    Lv 7
    5 months ago
    Favorite Answer

    Like the last one, check how the behavior of the high-degree term works as the numbers move to the extreme values:

    -3x⁴

    As x approaches infinity, x⁴ will also approach infinity.  When you multiply that by -3, then f(x) will approach negative infinity.

    So this is true.

  • mizoo
    Lv 7
    5 months ago

    True:

    as x→+∞, f(x)→-∞

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