document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025893>Question 1025893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a formula for the linear function described below.\r<BR>\n" );
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document.write( "The graph of &#8201;y=v(x) intersects the graph of u(x)=1+x^3 (x cubed)&#8201; at x=-2 and x=3.\r<BR>\n" );
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document.write( "v(x)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641167 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a formula for the linear function described below. <BR>\n" );
document.write( "The graph of &#8201;y=v(x) intersects the graph of u(x)=1+x^3 (x cubed)&#8201; at x=-2 and x=3. <BR>\n" );
document.write( "v(x)= ?<BR>\n" );
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document.write( "Find the two points::<BR>\n" );
document.write( "u(2) = 1+2^3 = 9<BR>\n" );
document.write( "u(3) = 1+3^3 = 28<BR>\n" );
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document.write( "Linear form:: y = mx + b<BR>\n" );
document.write( "Find \"m\" and \"b\"::<BR>\n" );
document.write( "m = (28-9)/(3-2) = 19<BR>\n" );
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document.write( "Substitute and solve for \"b\"::<BR>\n" );
document.write( "9 = 19*2 + b<BR>\n" );
document.write( "b = -9<BR>\n" );
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document.write( "v(x) = 19x - 9<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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