document.write( "Question 1037107: I need help making a graph from a table of values for this function
\n" );
document.write( "
\n" );
document.write( "Determine consecutive integer values of x between which each
\n" );
document.write( "real zero is located.
\n" );
document.write( "Between which two xconsecutive integers does the x-coordinate
\n" );
document.write( "of the relative maxima and relative minima occur? \n" );
document.write( "
Algebra.Com's Answer #651813 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! I did one exactly like this yesterday. Were you not able \n" ); document.write( "to learn the procedure from it? I'll do this one part way: \n" ); document.write( " \r\n" ); document.write( "g(x) = x^3 + 6x^2 + 6x - 4\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "g(x) = x3 + 6x2 + 6x - 4 \r\n" ); document.write( "\r\n" ); document.write( "y = g(-6) = (-6)3 + 6(-6)2 + 6(-6) - 4\r\n" ); document.write( "y = g(-6) = -216 + 6(36) - 36 - 4\r\n" ); document.write( "y = g(-6) = -216 + 216 - 40 \r\n" ); document.write( "y = g(-6) = 0 - 40\r\n" ); document.write( "y = g(-6) = -40 \r\n" ); document.write( "\r\n" ); document.write( "y = g(-5) = (-5)3 + 6(-5)2 + 6(-5) - 4\r\n" ); document.write( "y = g(-6) = -125 + 6(25) - 30 - 4\r\n" ); document.write( "y = g(-6) = -125 + 150 - 34 \r\n" ); document.write( "y = g(-6) = 25 - 34\r\n" ); document.write( "y = g(-6) = -9\r\n" ); document.write( "\r\n" ); document.write( "Do that also with x = -5,-4,-3,-2, -1, 0, 1, and 2\r\n" ); document.write( "and make this table:\r\n" ); document.write( "\r\n" ); document.write( " x |y=h(x) point\r\n" ); document.write( "---------------------\r\n" ); document.write( "-6 | 40 (-6,-40) <-- too high to plot\r\n" ); document.write( "-5 | -9 (-5,-9)\r\n" ); document.write( "-4 | -6 (-4,__)\r\n" ); document.write( "-3 | __ (-3,__) \r\n" ); document.write( "-2 | __ (-2,__)\r\n" ); document.write( "-1 | __ (-1,__)\r\n" ); document.write( " 0 | __ (0,__) \r\n" ); document.write( " 1 | __ (1,9) \r\n" ); document.write( " 2 | __ (2,40) <-- too high to plot.\r\n" ); document.write( "\r\n" ); document.write( "Then plot them and draw a smooth curve through them and\r\n" ); document.write( "do it exactly like this one:\r\n" ); document.write( "\r\n" ); document.write( "http://www.algebra.com/tutors/students/your-answer.mpl?question=1037013\r\n" ); document.write( "\r\n" ); document.write( "The curve looks like this:\r\n" ); document.write( "\r\n" ); document.write( " |