SOLUTION: Determine the far-left and far-right behavior of the graph of the polynomial function P(x) = 3x4 - 5x2 + 7.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine the far-left and far-right behavior of the graph of the polynomial function P(x) = 3x4 - 5x2 + 7.       Log On


   



Question 90592: Determine the far-left and far-right behavior of the graph of the polynomial function P(x) = 3x4 - 5x2 + 7.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the far-left and far-right behavior of the graph of the polynomial function P(x) = 3x^4 - 5x^2 + 7
Comment: As x gets larger and larger (positive or negative) the highest power term has the mostinfluence on the value of P(x).
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Far left: As x approaches negative infinity P(x) approaches +infinity.
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Far right: As x approaches positive infinity P(x) approaches + infinity
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Cheers,
Stan H.