document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198549>Question 1198549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the difference quotient for f(x)=3x+7\r<BR>\n" );
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document.write( "The correct answer is one of the following. Which one?\r<BR>\n" );
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document.write( "A) 3h<BR>\n" );
document.write( "B) 3/h<BR>\n" );
document.write( "C) 3h^2<BR>\n" );
document.write( "D) 3<BR>\n" );
document.write( "E) 3/h^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832170 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</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=832170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The term difference quotient refers to first finding the difference of f(x+h)-f(x), then the quotient is the ratio of that over h as shown in the steps below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%2B7 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+3%28x%2Bh%29%2B7 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+3%28x%2Bh%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+3x%2B3h%2B7 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+3x%2B3h%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29+=+%283x%2B3h%2B7%29-%283x%2B7%29 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29+=+%283x%2B3h%2B7%29-%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Difference\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29+=+3x%2B3h%2B7-3x-7 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29+=+3x%2B3h%2B7-3x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29+=+3h ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29+=+3h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%283h%29%2Fh ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%283h%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > Quotient\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+3 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The idea is that h doesn't equal zero, but we slowly approach h = 0 to find the tangent slope function. <BR>\n" );
document.write( "In the case of any linear equation, the tangent slope is the slope of the linear function itself.\r<BR>\n" );
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document.write( "Answer: <font color=red>Choice D) 3</font><BR>\n" );
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