document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356042>Question 356042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function j(x)=(square root of x)squared.\r<BR>\n" );
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document.write( "(a) What is the natural domain of j?\r<BR>\n" );
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document.write( "(b) Find the range of j using the natural domain.\r<BR>\n" );
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document.write( "The textbook has no examples and the teacher didn't explain it well. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254138 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=254138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) The domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > since you can't take the square root of a negative number. So the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%28x%29=%28sqrt%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"j%28x%29=%28sqrt%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) To find the range, you can either graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%28x%29=%28sqrt%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"j%28x%29=%28sqrt%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and note the possible y values, or you can find the inverse function and find the domain of that inverse function. Either way, you'll find that the range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%28x%29%3E=0 ALIGN=MIDDLE  ALT=\"j%28x%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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