document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75490>Question 75490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a practice question for me so I know the answer but how do I work this?\r<BR>\n" );
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document.write( "Let f(x) = 5x-2. <BR>\n" );
document.write( "Find:<BR>\n" );
document.write( "(a) f(4) – f(3)     Answer is: 5<BR>\n" );
document.write( "(b) f(9) – f(8)     Answer is: 5<BR>\n" );
document.write( "(c) f(12) – f(11)   Answer is: 5<BR>\n" );
document.write( "(d) How do the results of (a) through (c) compare to the slope of the line that is the graph of f? Answer is: same<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54294 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=54294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way you solve these problems is just replace the x in the function with the number given.<BR>\n" );
document.write( "a) If f(x) = 5x-2, find:<BR>\n" );
document.write( "f(4)-f(3)<BR>\n" );
document.write( "First, to find out what f(4) is, you replace x with 4 in the function f(x) = 5x-2, so:<BR>\n" );
document.write( "f(4) = 5(4)-2<BR>\n" );
document.write( "f(4) = 20-2<BR>\n" );
document.write( "f(4) = 18<BR>\n" );
document.write( "Similarly for f(3)<BR>\n" );
document.write( "f(3) = 5(3)-2<BR>\n" );
document.write( "f(3) = 15-2<BR>\n" );
document.write( "f(3) = 13<BR>\n" );
document.write( "Now, f(4)-f(3) = 18-13 = 5\r<BR>\n" );
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document.write( "b) For f(9)-f(8)<BR>\n" );
document.write( "f(9) = 5(9)-2<BR>\n" );
document.write( "f(9) = 45-2<BR>\n" );
document.write( "f(9) = 43<BR>\n" );
document.write( "Similiarly for f(8)<BR>\n" );
document.write( "f(8) = 5(8)-2<BR>\n" );
document.write( "f(8) = 40-2<BR>\n" );
document.write( "f(8) = 38<BR>\n" );
document.write( "Now, f(9)-f(8) = 43-38 = 5<BR>\n" );
document.write( "You should get the picture by now.\r<BR>\n" );
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document.write( "d) The given function can be written as an equation in the slope-intercept form: y = mx+b where m is the slope and b is the y-intercept.<BR>\n" );
document.write( "Your function can be similarly written:<BR>\n" );
document.write( "y = 5x-2 where the slope m = 5 and the y-intercept, b = -2<BR>\n" );
document.write( "So you can see that the slope of the given function is the same as the the differences given by:<BR>\n" );
document.write( "f(x)-f(x-1)  </SPAN>\n" );
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