document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868717>Question 868717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in figuring out how to graph the following function:\r<BR>\n" );
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document.write( "f(x)=square root of x+2 and to find the domain, range and to find the interval on which f is increasing, is decreasing, or is constant\r<BR>\n" );
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document.write( "Here's what I did:\r<BR>\n" );
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document.write( "I set up a table and I used 1,2,3,4 as the value of x. Then I plugged those values into the function to get the values for f(x) and got:\r<BR>\n" );
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document.write( "for x=1 -- I got f(x)= square root of 3 or 1.7 --- (square root of 1+2 = square root of 3)<BR>\n" );
document.write( "for x=2 -- I got f(x)= square root of 4 or 2 --- (square root of 2+2 = square root of 4)<BR>\n" );
document.write( "for x=3 -- I got f(x)= square root of 5 or 2.2 --- (square root of 3+2 = square root of 5)<BR>\n" );
document.write( "for x=4 -- I got f(x)= square root of 6 or 2.4 --- (square root of 4+2 = square root of 6)\r<BR>\n" );
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document.write( "Then I plotted my graph based on those points with a range of [1.7, infinity)<BR>\n" );
document.write( "and a domain of [1, infinity). The text says that my graph, range and domain are incorrect. The text says that the domain is [-2, infinity) and the range is [0, infinity). I need to know how they got that domain and range and how to plot the points for the graph.\r<BR>\n" );
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document.write( "Any help would be greatly appreciated.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523774 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=523774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help in figuring out how to graph the following function: <BR>\n" );
document.write( "f(x)=square root of x+2 and to find the domain, range and to find the interval on which f is increasing, is decreasing, or is constant <BR>\n" );
document.write( "Here's what I did: <BR>\n" );
document.write( "I set up a table and I used 1,2,3,4 as the value of x. Then I plugged those values into the function to get the values for f(x) and got: <BR>\n" );
document.write( "for x=1 -- I got f(x)= square root of 3 or 1.7 --- (square root of 1+2 = square root of 3)<BR>\n" );
document.write( "for x=2 -- I got f(x)= square root of 4 or 2 --- (square root of 2+2 = square root of 4)<BR>\n" );
document.write( "for x=3 -- I got f(x)= square root of 5 or 2.2 --- (square root of 3+2 = square root of 5)<BR>\n" );
document.write( "for x=4 -- I got f(x)= square root of 6 or 2.4 --- (square root of 4+2 = square root of 6) <BR>\n" );
document.write( "Then I plotted my graph based on those points with a range of [1.7, infinity)<BR>\n" );
document.write( "and a domain of [1, infinity). The text says that my graph, range and domain are incorrect. The text says that the domain is [-2, infinity) and the range is [0, infinity). I need to know how they got that domain and range and how to plot the points for the graph.<BR>\n" );
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document.write( "f(x) = sqrt(x+2)<BR>\n" );
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document.write( "Domain ?<BR>\n" );
document.write( "Solve x+2 >= 0<BR>\n" );
document.write( "x >= -2<BR>\n" );
document.write( "That is the Domain<BR>\n" );
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document.write( "Range:: [0,+oo)<BR>\n" );
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document.write( "Graph::<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C20%2C-5%2C20%2Csqrt%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C20%2C-5%2C20%2Csqrt%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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