document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200370>Question 1200370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the net change in the value of the function between the given inputs.\r<BR>\n" );
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document.write( "g(t) = 3 - t^2 ;   from -5 to 6\r<BR>\n" );
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document.write( "Plug in t = -5<BR>\n" );
document.write( "g(t) = 3 - t^2<BR>\n" );
document.write( "g(-5) = 3 - (-5)^2<BR>\n" );
document.write( "g(-5) = 3 - 25<BR>\n" );
document.write( "g(-5) = -22\r<BR>\n" );
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document.write( "Plug in t = 6<BR>\n" );
document.write( "g(t) = 3 - t^2<BR>\n" );
document.write( "g(6) = 3 - 6^2<BR>\n" );
document.write( "g(6) = 3 - 36<BR>\n" );
document.write( "g(6) = -33\r<BR>\n" );
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document.write( "Subtract the results<BR>\n" );
document.write( "g(6) - g(-5) = -33 - (-22) = -33 + 22 = <font color=red>-11</font>\r<BR>\n" );
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document.write( "<font color=red>The net change is -11.</font><BR>\n" );
document.write( "It means the output has gone down by 11 units when going from g(-5) = -22 to g(6) = -33. <BR>\n" );
document.write( "Use a vertical number line to see why this is the case.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28400%2C+200%2C+-5%2C5%2C-36%2C-19%2C%0D%0Aline%280%2C-35-3%2C0%2C-20%2B3%29%2C%0D%0Aline%280.2%2C-35%2C-0.2%2C-35%29%2C%0D%0Aline%280.2%2C-30%2C-0.2%2C-30%29%2C%0D%0Aline%280.2%2C-25%2C-0.2%2C-25%29%2C%0D%0Aline%280.2%2C-20%2C-0.2%2C-20%29%2C%0D%0Alocate%28-1%2C-34.5%2C%22-35%22%29%2C%0D%0Alocate%28-1%2C-29.5%2C%22-30%22%29%2C%0D%0Alocate%28-1%2C-24.5%2C%22-25%22%29%2C%0D%0Alocate%28-1%2C-19.5%2C%22-20%22%29%2C%0D%0A%0D%0Ablue%28circle%280%2C-22%2C0.06%29%29%2C%0D%0Ablue%28circle%280%2C-22%2C0.08%29%29%2C%0D%0Ablue%28circle%280%2C-22%2C0.10%29%29%2C%0D%0Ablue%28circle%280%2C-22%2C0.12%29%29%2C%0D%0Ablue%28circle%280%2C-22%2C0.14%29%29%2C%0D%0Ablue%28locate%280.3%2C-21.5%2C%22-22%22%29%29%2C%0D%0A%0D%0Ablue%28circle%280%2C-33%2C0.06%29%29%2C%0D%0Ablue%28circle%280%2C-33%2C0.08%29%29%2C%0D%0Ablue%28circle%280%2C-33%2C0.10%29%29%2C%0D%0Ablue%28circle%280%2C-33%2C0.12%29%29%2C%0D%0Ablue%28circle%280%2C-33%2C0.14%29%29%2C%0D%0Ablue%28locate%280.3%2C-32.5%2C%22-33%22%29%29%2C%0D%0A%0D%0Ared%28arc%281.2%2C-27.5%2C2%2C10.5%2C270%2C450%29%29%2C%0D%0Ared%28line%281.2%2C-33%2C1.8%2C-33%29%29%2C%0D%0Ared%28line%281.2%2C-33%2C1.5%2C-31%29%29%2C%0D%0Ared%28locate%282.5%2C-27.5%2Cmatrix%281%2C2%2C%22Move%22%2C%2211%22%29%29%29%2C%0D%0Ared%28locate%282.5%2C-28.8%2Cmatrix%281%2C2%2C%22units%22%2C%22down%22%29%29%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can think of -22 as being 22 feet below sea level, aka 22 feet underwater.<BR>\n" );
document.write( "Move 11 feet further down and you will arrive at the marker -33 which represents being 33 feet underwater.<BR>\n" );
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