document.write( "Question 46559: the table shows several value of the function f(x)=-x^3+x^2-x+2. Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) inverval(s) where the function must have a zero.\r
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document.write( " x f(x)
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document.write( " -2 16
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document.write( " -1 (unknown)
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document.write( " 0 (unknown)
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document.write( " 1 (unknown)
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document.write( " 2 -4
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Algebra.Com's Answer #30848 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! -1 (unknown) \n" ); document.write( "f(x) = -x^3 + x^2 - x + 2 \n" ); document.write( "f(-1) = -(-1)^3 + (-1)^2 - (-1) + 2 \n" ); document.write( "f(-1) = 1 + 1 + 1 + 2 = 5 \n" ); document.write( "(-1,5) \n" ); document.write( "0 (unknown) \n" ); document.write( "f(x) = -x^3 + x^2 - x + 2 \n" ); document.write( "f(0) = -0^3 + 0^2 - 0 + 2 = 2 \n" ); document.write( "(0,2) \n" ); document.write( "1 (unknown) \n" ); document.write( "f(x) = -1^3 + 1^2 - 1 + 2 \n" ); document.write( "f(x) = -1 + 1 - 1 + 2 = 1 \n" ); document.write( "(1,1) \n" ); document.write( "x f(x) \n" ); document.write( "-2 16 \n" ); document.write( "-1 5 \n" ); document.write( "0 2 \n" ); document.write( "1 1 \n" ); document.write( "2 -4 \n" ); document.write( " |