document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83140>Question 83140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm a bit confused with these problems.  I get it somewhat, but for some reason I get lost after the first few variables.\r<BR>\n" );
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document.write( "Evaluate function for the value specified.<BR>\n" );
document.write( "f(x)=x2-7x+10; find (a)f(0), (b)f(5), and (c)f(-2)\r<BR>\n" );
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document.write( "Rewrite equation as a function of x\r<BR>\n" );
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document.write( "-3x+4y= 11  ( what i don't understand is how i find out how to rewrite this equation.)\r<BR>\n" );
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document.write( " this has to be graphed- f(x)=-2x-5 ( does this get graphed like any other equation, i noticed the function notation and got a little confused)\r<BR>\n" );
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document.write( "If f(x) =4x-3 then what does this equate to?<BR>\n" );
document.write( "f(-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59788 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=59788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ********************<BR>\n" );
document.write( "Evaluate function for the value specified.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-7x%2B10 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-7x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > find <BR>\n" );
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document.write( "(a) f(0)<BR>\n" );
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document.write( "Just substitute 0 for every x in the equation and reduce as necessary<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=0%5E2-7%2A0%2B10+=+0+-+0+%2B10+=+%2B10 ALIGN=MIDDLE  ALT=\"f%280%29=0%5E2-7%2A0%2B10+=+0+-+0+%2B10+=+%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) f(5) <BR>\n" );
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document.write( "Substitute 5 for every x in the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29=5%5E2-%287%2A5%29%2B10+=+25+-+35+%2B+10+=+0 ALIGN=MIDDLE  ALT=\"f%285%29=5%5E2-%287%2A5%29%2B10+=+25+-+35+%2B+10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "(c) f(-2)<BR>\n" );
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document.write( "Substitute -2 for every x in the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29=%28-2%29%5E2-%287%2A%28-2%29%29%2B10+=+4+-%28-14%29%2B10+=+4+%2B+14+%2B+10+=+28 ALIGN=MIDDLE  ALT=\"f%28-2%29=%28-2%29%5E2-%287%2A%28-2%29%29%2B10+=+4+-%28-14%29%2B10+=+4+%2B+14+%2B+10+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Rewrite equation as a function of x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B4y=+11 ALIGN=MIDDLE  ALT=\"-3x%2B4y=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
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document.write( "This problem is just asking you to solve for y. Then replace the y by \"f(x)\". First, solve<BR>\n" );
document.write( "for y. Start by getting the term containing y on one side and everything else on the <BR>\n" );
document.write( "other side.  So get rid of the -3x on the left side by adding +3x to both sides. This <BR>\n" );
document.write( "makes the equation become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+3x+%2B+11 ALIGN=MIDDLE  ALT=\"4y+=+3x+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then solve for y by dividing all terms on both sides of this equation by 4 (which is <BR>\n" );
document.write( "the multiplier of y) to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x+%2B+11%2F4 ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x+%2B+11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now just replace y by f(x) and the answer becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%283%2F4%29x+%2B+11%2F4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%283%2F4%29x+%2B+11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This has to be graphed- f(x)=-2x-5 <BR>\n" );
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document.write( "(Does this get graphed like any other equation? I noticed the function notation and got <BR>\n" );
document.write( "a little confused)<BR>\n" );
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document.write( "I'm going to assume that the \"-\" sign after the word \"graphed\" is not associated with the <BR>\n" );
document.write( "function. If it is, just make the appropriate changes.  (The changes would involve <BR>\n" );
document.write( "having -y on the left side of the equation and then changing it to +y by multiplying<BR>\n" );
document.write( "the entire equation ... all terms on both sides ... by -1.)<BR>\n" );
document.write( "All you <BR>\n" );
document.write( "have to do for this problem is replace f(x) by y. This makes the equation to be graphed:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2x+-+5 ALIGN=MIDDLE  ALT=\"y+=+-2x+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now just proceed as you would with any graphing problem.  You can assign values to x and<BR>\n" );
document.write( "find the corresponding values of y. Then plot each x,y point for the various values of<BR>\n" );
document.write( "x.  You are creating the graph of f(x).<BR>\n" );
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document.write( "When you get done the graph should look somewhat like:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x+-5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x+-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=4x-3 ALIGN=MIDDLE  ALT=\"f%28x%29+=4x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > then what does this equate to?<BR>\n" );
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document.write( "f(-1)<BR>\n" );
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document.write( "Just as we did above, substitute -1 for every x in the equation and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29+=+4%2A%28-1%29-3+=+-4-3+=+-7 ALIGN=MIDDLE  ALT=\"f%28-1%29+=+4%2A%28-1%29-3+=+-4-3+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29 ALIGN=MIDDLE  ALT=\"f%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Hope this helps a little to clarify things for you regarding functional notation and what<BR>\n" );
document.write( "it means.  </SPAN>\n" );
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