document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061076>Question 1061076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the indicated intercept(s) of the graph of the function.\r<BR>\n" );
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document.write( "y-intercept of f(x) = (5x-15)(x-4) / x^2+12x-19\r<BR>\n" );
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document.write( "    a. (0, 3)<BR>\n" );
document.write( "    b. (0, 4)<BR>\n" );
document.write( "    c. (0, 60 / 19)<BR>\n" );
document.write( "    d. (0, -60 / 19)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675897 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function should be written as<BR>\n" );
document.write( "f(x) = (5x-15)(x-4) / (x^2+12x-19) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-15%29%28x-4%29+%2F+%28x%5E2%2B12x-19%29 ALIGN=MIDDLE  ALT=\"%285x-15%29%28x-4%29+%2F+%28x%5E2%2B12x-19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because if the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x-19 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x-19\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not \"under a roof\",<BR>\n" );
document.write( "you need to \"wrap it\" in brackets to indicate that it must be calculated first,<BR>\n" );
document.write( "and then divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-15%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%285x-15%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the value calculated for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x-19 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x-19\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "If you cannot \"put a roof over it\", \"wrap it\".<BR>\n" );
document.write( " <BR>\n" );
document.write( "All the options given have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because the first number in all those ordered pairs is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , the value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%285x-15%29%28x-4%29+%2F+%28x%5E2%2B12x-19%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%285x-15%29%28x-4%29+%2F+%28x%5E2%2B12x-19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=%285%2A0-15%29%280-4%29+%2F+%280%5E2%2B12%2A0-19%29=%28-15%29%28-4%29%2F%28-19%29=60%2F%28-19%29=highlight%28-60%2F19%29=-3%263%2F19 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%22d+.+%28+0+%2C+-60%2F19+%29%22%29 ALIGN=MIDDLE  ALT=\"highlight%28%22d+.+%28+0+%2C+-60%2F19+%29%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the correct answer.<BR>\n" );
document.write( "What it means is that the y-intercept of the function,<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the graph is crossing the y-axis is the point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%28+0+%2C+-60%2F19+%29%22 ALIGN=MIDDLE  ALT=\"%22%28+0+%2C+-60%2F19+%29%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C300%2C-5%2C5%2C-4%2C1%2C%285x-15%29%28x-4%29+%2F+%28x%5E2%2B12x-19%29%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C300%2C-5%2C5%2C-4%2C1%2C%285x-15%29%28x-4%29+%2F+%28x%5E2%2B12x-19%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The graph crosses the x-axis at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so it also has x-intercepts at (3,0) and (4,0) ,<BR>\n" );
document.write( "but that was not the question,<BR>\n" );
document.write( "and those were not choices.<BR>\n" );
document.write( "(The choices (3,0) and (4,0) were there just to trick you, in case you were rushing through the problem).<BR>\n" );
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