document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91475>Question 91475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given f(x)=4x^2-1 /x^2-16\r<BR>\n" );
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document.write( "a. Find the x-intercept(s).<BR>\n" );
document.write( "b. Find the y-intercept(s).<BR>\n" );
document.write( "c. Find the vertical asymptote(s) (write as an equation of a line).<BR>\n" );
document.write( "d. Find the horizontal asymptote(s) (write as an equation of a line).<BR>\n" );
document.write( "e. For x>4, is there a value which F(x) cannot exceed, AND/OR a value which F(x) cannot fall below? Explain your answers. <BR>\n" );
document.write( "f. Find the maximum or minimum function value in the interval -4  x  4, and state whether it is a maximum or minimum value for that interval.<BR>\n" );
document.write( "g. Describe what happens on the graph when x approaches infinity.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66430 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=66430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given f(x)=4x^2-1 /x^2-16 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=given+f%28x%29=4x%5E2-1+%2Fx%5E2-16+%0D%0A ALIGN=MIDDLE  ALT=\"given+f%28x%29=4x%5E2-1+%2Fx%5E2-16+%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >graph(400,300,-10,10,-10,10,(4x^2-1)/(x^2-16))|||<BR>\n" );
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document.write( "a. Find the x-intercept(s).<BR>\n" );
document.write( "y = 0 when 4x^2-1 = 0; when x=(1/2) or x=(-1/2)<BR>\n" );
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document.write( "b. Find the y-intercept(s).<BR>\n" );
document.write( "Let x=0; y=-1/-16 = 16<BR>\n" );
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document.write( "c. Find the vertical asymptote(s) (write as an equation of a line).<BR>\n" );
document.write( "Vertical asymptotes when the denominator is zero:<BR>\n" );
document.write( "x=4 or x=-4<BR>\n" );
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document.write( "d. Find the horizontal asymptote(s) (write as an equation of a line).<BR>\n" );
document.write( "horizontal asyumptote at y = 4/1 = 4<BR>\n" );
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document.write( "e. For x>4, is there a value which F(x) cannot exceed, AND/OR a value which F(x) cannot fall below? Explain your answers.<BR>\n" );
document.write( "y=4<BR>\n" );
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document.write( "f. Find the maximum or minimum function value in the interval -4 x 4, and state whether it is a maximum or minimum value for that interval.<BR>\n" );
document.write( "Check the graph of the function.<BR>\n" );
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document.write( "g. Describe what happens on the graph when x approaches infinity.<BR>\n" );
document.write( "y get closer and closer to 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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