document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205544>Question 1205544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use set-builder notation to identify the domain and range for function f. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842426 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=842426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "You haven't posted a function, but I'll provide an example of domain in set-builder notation.\r<BR>\n" );
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document.write( "The function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+1%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+1%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the domain <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \big\{\text{x} | \text{x}\in\mathbb{R} , \  \text{x} \not = 2 \big\}\"> since x = 2 leads to a division by zero error. Any other x value will work.\r<BR>\n" );
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document.write( "The notation shown above translates to \"The domain is x such that x is a real number and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C%3E+2 ALIGN=MIDDLE  ALT=\"x+%3C%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"\r<BR>\n" );
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document.write( "Another example:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sqrt%28x-5%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the domain <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \big\{\text{x} | \text{x}\in\mathbb{R} , \  \text{x} \ge 5 \big\}\"><BR>\n" );
document.write( "If x = 5 or larger, then the stuff under the square root (aka radicand) is nonnegative.<BR>\n" );
document.write( "If x < 5, then the radicand is negative, leading to f(x) outputs to be nonreal complex values.<BR>\n" );
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