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Polynomial Function
Which is NOT true about the graph of polynomial function?
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It is smooth
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It has end points
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It has no breaks nor gaps
How many turning points does the graph of P(x)=x4−2x2+x+1P\left(x\right)=x^4-2x^2+x+1P(x)=x4−2x2+x+1 have?
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4
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less than 4
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more than 4
What are the zeros of the polynomial function P(x)=x(x−1)(x+2)(x−3)P\left(x\right)=x\left(x-1\right)\left(x+2\right)\left(x-3\right)P(x)=x(x−1)(x+2)(x−3) ?
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1, 2, 3
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0, 1, 2, 3
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0, -1, 2, -3
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0, 1, -2, 3
What is the sign of the leading coefficient of the polynomial function whose graph appears below?
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positive
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negative
What is the end behavior of the graph of P(x)=2x3+3x2−2x+1P\left(x\right)=2x^3+3x^2-2x+1P(x)=2x3+3x2−2x+1 ?
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The graph falls to the left and rises to the right
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The graph rises to the left and falls to the right
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The graph rises to both ends
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The graph falls to both ends
What is the end behavior of the graph of P(x)=−2x4+3x2−2x+1P\left(x\right)=-2x^4+3x^2-2x+1P(x)=−2x4+3x2−2x+1 ?
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The graph falls to the left and rises to the right
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The graph rises to the left and falls to the right
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The graph rises to both ends
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The graph falls to both ends
Which best describes the graph
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a polynomial with even degree and negative leading coefficient
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a polynomial with even degree and positive leading coefficient
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a polynomial with odd degree and negative leading coefficient
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a polynomial with odd degree and positive leading coefficient
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