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Algebra help not sure how to do these steps on how to determine please?

P(x)=-6x^4-3x^3+5x^2-2x+5

Determine the far left and far right behavior of the graph of the polynomial

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  • 8 years ago
    Favorite Answer

    You have to identify the highest power in the function. This power as the x value approaches positive and negative infinity will over power all the other degrees of x. For example 10,000^4 is much large than 10,000^3

    This will make -6x^4 our only concern, the rest is a distraction.

    A positive exponent makes the end behavior in the same direction, but since the coefficient is negative the function sinks on both sides.

    Source(s): I'm in calculus bro
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