document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196548>Question 1196548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let g(x)=9x²-2. Find the average rate of change of the function as x changes from -8 to 5.\r<BR>\n" );
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document.write( "I don't know how to solve this. only tell me the steps for solving it <BR>\n" );
document.write( "DON'T GIVE ME THE ANSWER!! just the steps, please. <(0U0)> </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829426 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=829426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Here's a similar example.\r<BR>\n" );
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document.write( "Question:<BR>\n" );
document.write( "Let f(x) = x^2+7<BR>\n" );
document.write( "Find the average rate of change from x = 3 to x = 5\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "Plug in x = 3<BR>\n" );
document.write( "f(3) = 3^2+7 = 9+7 = 16<BR>\n" );
document.write( "Repeat for x = 5<BR>\n" );
document.write( "f(5) = 5^2+7 = 25+7 = 32<BR>\n" );
document.write( "These are the y values for the mentioned x inputs.\r<BR>\n" );
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document.write( "The two points (3,16) and (5,32) are on the function curve x^2+7\r<BR>\n" );
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document.write( "The task of finding the average rate of change is exactly the same as finding the slope of the line through those two points.\r<BR>\n" );
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document.write( "m = slope<BR>\n" );
document.write( "m = rise/run<BR>\n" );
document.write( "m = (change in y)/(change in x)<BR>\n" );
document.write( "m = (y2-y1)/(x2-x1)<BR>\n" );
document.write( "m = (32-16)/(5-3)<BR>\n" );
document.write( "m = 16/2<BR>\n" );
document.write( "m = 8\r<BR>\n" );
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document.write( "The slope of the line through (3,16) and (5,32) is 8, which is the average rate of change. <BR>\n" );
document.write( "A real world application would be to look at the average speed of a car over some set amount of time.\r<BR>\n" );
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document.write( "Answer:  8\r<BR>\n" );
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document.write( "Keep in mind that this is of course just an example and not the answer to your question in particular. <BR>\n" );
document.write( "However, you'll follow this same basic outline of steps. <BR>\n" );
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