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Question 1051576: Use the leading coefficient test to determine the end behavior of the polynomial fuction
g(x)=(6/7)(x-9)^4(x+4)^2(3x-5)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Use the leading coefficient test to determine the end behavior of the polynomial fuction
g(x)=(6/7)(x-9)^4(x+4)^2(3x-5)
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The leading coefficient is (6/7)x^4*x^2*3x = (18/7)x^7
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The end behavior depends on x^7::
As x goes to -oo, x^7 goes to -oo; so g(x) goes to -oo
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As x goes to +oo, x^7 goes to +oo; so g(x) goes to +oo
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Cheers,
Stan H.
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