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
P(x)=-6x^4-3x^3+5x^2-2x+5
Determine the far left and far right behavior of the graph of the polynomial
Chris
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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.