document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762286>Question 762286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = 2x^2 - 3x +4 and g(x) = x + 3.<BR>\n" );
document.write( "Find f(x) + 3g(x)<BR>\n" );
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document.write( "A. 2x^2 - 2x + 7<BR>\n" );
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document.write( "B. 2x^2 + 6x + 13<BR>\n" );
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document.write( "C. 2x^2 + 13<BR>\n" );
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document.write( "D. 2x^2 - 6x + 13\r<BR>\n" );
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document.write( "2. <BR>\n" );
document.write( "State the range of the following relation:\r<BR>\n" );
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document.write( "{(-1, -3), (9, -1), (-6, -9), (0, -4), (2, -1), (-2, -3)}<BR>\n" );
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document.write( "A. {All real numbers}<BR>\n" );
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document.write( "B. {-9, -4, -3, -1}<BR>\n" );
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document.write( "C. {-1, -3, 9, -6, 0}<BR>\n" );
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document.write( "D. {-6, -2, -1, 0, 2, 9} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463838 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=463838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "f(x) + 3*g(x) = 2x^2 - 3x +4 + 3*(x+3)\r<BR>\n" );
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document.write( "f(x) + 3*g(x) = 2x^2 - 3x +4 + 3x + 9\r<BR>\n" );
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document.write( "f(x) + 3*g(x) = 2x^2 + 13\r<BR>\n" );
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document.write( "So it's choice C\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "The range is the set of all possible outputs of a function. Basically it's the set of y values of each point.\r<BR>\n" );
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document.write( "The y values of (-1, -3), (9, -1), (-6, -9), (0, -4), (2, -1), (-2, -3) are: -3, -1, -9, -4, -1, -3\r<BR>\n" );
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document.write( "Toss out the duplicates to get:  -3, -1, -9, -4\r<BR>\n" );
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document.write( "and this is choice B (just in a different order, but order doesn't matter in a set) </SPAN>\n" );
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