document.write( "Question 302151: State approximately the intervals on which f (x) = x4 - 4x3 - 22x2 + 52x - 7 is increasing and on which f (x) = x4 - 4x3 - 22x2 + 52x - 7 is decreasing. Round your answers to the nearest tenth. \r
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document.write( "I really don't know how to start this problem. Can you tell me how to do it & I will do the math? \n" );
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Algebra.Com's Answer #216672 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! you need to find the maxima and minima\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "setting the first derivative equal to zero will give you the x values\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this function is shaped roughly like a \"W\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "starting on the left-hand side of the \"W\" \n" ); document.write( "___ the function is decreasing on the downward stroke \n" ); document.write( "___ then increasing on the first inside upward stroke \n" ); document.write( "___ then decreasing on the next inside downward stroke \n" ); document.write( "___ then finally increasing on the last outside upward stroke\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the points where the strokes intersect are the boundries between the increasing and decreasing intervals\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "remember that the outsides strokes go to infinity on the x-axis; one positive and one negative \n" ); document.write( "___ they both go to positive infinity on the y-axis\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in case you haven't had any calculus \n" ); document.write( "___ the first derivative is ___ 4x^3 - 12x^2 - 44x + 52 \n" ); document.write( " |