document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44924>Question 44924</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534373526/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A  linear function is given.  (a) Find the average rate of change of the function between x = a and x = a + h.  (b). Show that the average rate of change is the same as the slope of the line.\r<BR>\n" );
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document.write( "g(x) = -4x + 2\r<BR>\n" );
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document.write( "I came out with 4 for both answers.\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29758 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=29758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A linear function is given. (a) Find the average rate of change of the function between x = a and x = a + h. (b). Show that the average rate of change is the same as the slope of the line.<BR>\n" );
document.write( "g(x) = -4x + 2<BR>\n" );
document.write( "g(a+h)=-4(a+h)+2=-4a-4h+2<BR>\n" );
document.write( "g(a)=-4a+2<BR>\n" );
document.write( "g(a+h)-g(a)=-4h<BR>\n" );
document.write( "avg.rate of change = {g(a+h)-g(a)}/(a+h-a)=-4h/h=-4<BR>\n" );
document.write( "slope of the given line =-4\r<BR>\n" );
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document.write( "I came out with 4 for both answers....no -4 is the answer<BR>\n" );
document.write( "Thank you so much! </SPAN>\n" );
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