document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026406>Question 1026406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve these problems: \r<BR>\n" );
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document.write( "1. Given f(x)=2x^2 - 6, then, to the nearest hundredth, the positive x-value that gives the smallest value of y=sqrt(f(x)) is? \r<BR>\n" );
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document.write( "2. The y-coordinate of the \"endpoint\" of the graph of y=4sqrt(2-x)+3 is \r<BR>\n" );
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document.write( "Thank you in advance, your help is always appreciated.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641647 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%28f%28x%29%29+=+sqrt%282x%5E2-6%29 ALIGN=MIDDLE  ALT=\"y+=+sqrt%28f%28x%29%29+=+sqrt%282x%5E2-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > would have the domain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+6+%3E=0 ALIGN=MIDDLE  ALT=\"2x%5E2+-+6+%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >]&#8746;[<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >).  Incidentally the smallest value of y happens when x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the answer to your question is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, approximately 1.73 to nearest hundredth.\r<BR>\n" );
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document.write( "2.  The \"endpoint\" of the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4sqrt%282-x%29%2B3 ALIGN=MIDDLE  ALT=\"y=4sqrt%282-x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > happens when x = 2, which is the minimum point of the graph.  The corresponding y-value is y = 3. </SPAN>\n" );
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