document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884127>Question 884127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which of the following is not in range of f(x)= 7(x-2)^2<BR>\n" );
document.write( "A. 300<BR>\n" );
document.write( "B. 6<BR>\n" );
document.write( "c. -3<BR>\n" );
document.write( "D. 12<BR>\n" );
document.write( "So my first idea was to plug in each number and then I realized that didn't help. I'm not really sure how to even start on this problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534007 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=534007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 is NEVER negative. Squaring a positive number leads to a positive number. Squaring a negative number gives you a positive result (eg: x = -3 ---> x^2 = (-3)^2 = 9)\r<BR>\n" );
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document.write( "So that means (x-2)^2 is NEVER negative based on the same reasoning as above.\r<BR>\n" );
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document.write( "Multiplying some number that's either 0 or positive by 7, which is positive, means the expression 7(x-2)^2 results in a number that's 0 or some positive number.\r<BR>\n" );
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document.write( "7(x-2)^2 is NEVER negative.\r<BR>\n" );
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document.write( "Therefore, <font color=\"red\">c) -3</font> is NOT a possible output of the function. It's impossible to generate a negative number. </SPAN>\n" );
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