document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337737>Question 337737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x,use the resulting points to graph the function. show your work.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=+1%2F2x%5E2 ALIGN=MIDDLE  ALT=\"+f%28x%29=+1%2F2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Could someone please help me with this problem?<BR>\n" );
document.write( "Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #242136 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=242136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x,use the resulting points to graph the function. show your work.<BR>\n" );
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document.write( "f(x)= (1/2)x^2<BR>\n" );
document.write( "a = (1/2) ; b = 0 ; c = 0<BR>\n" );
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document.write( "Formula: <BR>\n" );
document.write( "x = [-b +- sqrt(b^2-4ac)]/(2a)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [-0 +- sqrt(0^2-4*(1/2)*0)]/(2*(1/2))<BR>\n" );
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document.write( "x = [0 +- 0]/1<BR>\n" );
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document.write( "x = 0<BR>\n" );
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document.write( "So the graph touches the x-axis at (0,0)<BR>\n" );
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document.write( "f(x) = (1/2)x^2<BR>\n" );
document.write( "Plot some points near (0,0)<BR>\n" );
document.write( "If x = +1 or -1 y = (1/2)(1)^2 = 1/2<BR>\n" );
document.write( "That gives you two points: (-1,1/2) and (1,1/2)<BR>\n" );
document.write( "If x = 2 or -2 y = (1/2)(2^2) = 2<BR>\n" );
document.write( "That gives you two points: (-2,2) and (2,2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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