document.write( "Question 1133367: Let f be a linear function. If
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document.write( "f(−2) = −2
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document.write( "f(4) = −20,
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document.write( " find
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document.write( "f(x).\r
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document.write( "f(x)= \n" );
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Algebra.Com's Answer #750563 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The linear function goes through (-2,-2) and (4,-20):\r \n" ); document.write( "\n" ); document.write( "f(x) = mx + b \r \n" ); document.write( "\n" ); document.write( "m = (-20-(-2))/(4-(-2)) = -18/6 = -3 \r \n" ); document.write( "\n" ); document.write( "f(x) = -3x + b \r \n" ); document.write( "\n" ); document.write( "Using (-2,-2), solve for b: \n" ); document.write( "-2 = -3(-2) + b \n" ); document.write( "-8 = b \r \n" ); document.write( "\n" ); document.write( "--- \n" ); document.write( "Ans: \n" ); document.write( "--- \n" ); document.write( "Check: f(-2) = -3(-2)-8 = 6-8 = -2 (ok) \n" ); document.write( " and f(4) = -3(4)-8 = -12-8 = -20 (ok)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |