document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043582>Question 1043582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular breed of tilapia has its weight W in kg. related to its length L in cm. modeled by the function: W=(3.24 x 10^-3)L^2. \r<BR>\n" );
document.write( "\n" );
document.write( "Explain why the function is one to one even if it is a quadratic function. Find the inverse of this function and approximate the length of a single fish if its weight is 400 grams. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658772 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The test for being an even funtion is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28L%29+=+f%28-L%29+ ALIGN=MIDDLE  ALT=\"+f%28L%29+=+f%28-L%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This function is even because:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283.24%2A10%5E%28-3%29%29%2AL%5E2+=+%283.24%2A10%5E%28-3%29%29%2A%28-L%29%5E2+ ALIGN=MIDDLE  ALT=\"+%283.24%2A10%5E%28-3%29%29%2AL%5E2+=+%283.24%2A10%5E%28-3%29%29%2A%28-L%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+3.24%2A10%5E%28-3%29%29%2AL%5E2+ ALIGN=MIDDLE  ALT=\"+W+=+%28+3.24%2A10%5E%28-3%29%29%2AL%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5E2+=+W%2A%28+1%2F%28+3.24%2A10%5E%28-3%29%29%29+ ALIGN=MIDDLE  ALT=\"+L%5E2+=+W%2A%28+1%2F%28+3.24%2A10%5E%28-3%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5E2+=+W%2A%28+10%5E3+%2F+3.24+%29+ ALIGN=MIDDLE  ALT=\"+L%5E2+=+W%2A%28+10%5E3+%2F+3.24+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5E2+=+W%2A%28+.30864%2A10%5E3+%29+ ALIGN=MIDDLE  ALT=\"+L%5E2+=+W%2A%28+.30864%2A10%5E3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5E2+=+308.64W+ ALIGN=MIDDLE  ALT=\"+L%5E2+=+308.64W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+sqrt%28+308.64+%29%2Asqrt%28W%29+ ALIGN=MIDDLE  ALT=\"+L+=+sqrt%28+308.64+%29%2Asqrt%28W%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+17.568%2Asqrt%28W%29+ ALIGN=MIDDLE  ALT=\"+L+=+17.568%2Asqrt%28W%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+.4+ ALIGN=MIDDLE  ALT=\"+W+=+.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > kg<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+17.568%2Asqrt%28.4%29+ ALIGN=MIDDLE  ALT=\"+L+=+17.568%2Asqrt%28.4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+17.568%2A.6325+ ALIGN=MIDDLE  ALT=\"+L+=+17.568%2A.6325+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+11.111+ ALIGN=MIDDLE  ALT=\"+L+=+11.111+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate length of a fish is 11 cm<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4+=+%28+3.24%2A10%5E%28-3%29%29%2A11.111%5E2+ ALIGN=MIDDLE  ALT=\"+.4+=+%28+3.24%2A10%5E%28-3%29%29%2A11.111%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4+=+.00324%2A123.454+ ALIGN=MIDDLE  ALT=\"+.4+=+.00324%2A123.454+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4+=+.39999+ ALIGN=MIDDLE  ALT=\"+.4+=+.39999+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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