document.write( "Question 1157922: I don't understand this can someone please help me asap....Analyze the graph of the function F(x)=(x^2-7x-8)/(x+4). Write​ F(x) in lowest terms.
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Algebra.Com's Answer #780822 by MathLover1(20850)\"\" \"About 
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\"F%28x%29=%28x%5E2-7x-8%29%2F%28x%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"F%28x%29=%28x%5E2%2Bx-8x-8%29%2F%28x%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"F%28x%29=%28%28x%5E2%2Bx%29-%288x%2B8%29%29%2F%28x%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"F%28x%29=%28x%28x%2B1%29-8%28x%2B1%29%29%2F%28x%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"F%28x%29=%28%28x-8%29%28x%2B1%29%29%2F%28x%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "x-intercepts: set \"F%28x%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x-8%29%28x%2B1%29%29%2F%28x%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "=>\"x=8\" and \"x=-1\"\r
\n" ); document.write( "\n" ); document.write( "x-intercepts at: (\"8\",\"0\"), (\"-1\",\"0\")\r
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\n" ); document.write( "\n" ); document.write( "y-intercepts: set \"F%28x%29=y\" and \"x=0\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%28%280-8%29%280%2B1%29%29%2F%280%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%28-8%2A1%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-2\"\r
\n" ); document.write( "\n" ); document.write( "y-intercept at: (\"0\",\"-2\")\r
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\n" ); document.write( "\n" ); document.write( "critical points: values of \"x\" for which is \"f\"\"%28x%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"F\"'\"%28x%29+=+%28x%5E2+%2B+8+x+-+20%29%2F%28x+%2B+4%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=> \"+%28x%5E2+%2B+8+x+-+20%29%2F%28x+%2B+4%29%5E2=0\"...only if numerator equal to zero
\n" ); document.write( "=> \"%28x+%2B+10%29+%28x+-+2%29=0\"\r
\n" ); document.write( "\n" ); document.write( " =>\"x=-10\", \"x=2\"\r
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\n" ); document.write( "\n" ); document.write( "vertical asymptote: \"x=-4\" (makes denominator zero)\r
\n" ); document.write( "\n" ); document.write( "Calculate the limits:\r
\n" ); document.write( "\n" ); document.write( "\"lim%28x-%3Einfinity%2C%28x%5E2-7x-8%29%2F%28x%2B4%29%29=infinity+\"\r
\n" ); document.write( "\n" ); document.write( "\"lim%28x-%3E-infinity%2C%28x%5E2-7x-8%29%2F%28x%2B4%29%29=-infinity+\"\r
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\n" ); document.write( "\n" ); document.write( "Thus, there are \"no\"\"+horizontal\"\"+asymptotes\".\r
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\n" ); document.write( "\n" ); document.write( "Do polynomial long division:\r
\n" ); document.write( "\n" ); document.write( "..........(\"x-11\"
\n" ); document.write( " \"x%2B4\"|\"x%5E2-7x-8\"
\n" ); document.write( "..........\"x%5E2%2B4x\"......subtract
\n" ); document.write( "............... \"-11x-8\"
\n" ); document.write( "............... \"-11x-44\"......subtract
\n" ); document.write( ".............................\"+36\"\r
\n" ); document.write( "\n" ); document.write( "The rational term approaches \"0\" as the variable approaches\"+infinity\".
\n" ); document.write( "Thus, the slant asymptote is: \"x-11\"\r
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\n" ); document.write( "\n" ); document.write( "to find max and min, plug in critical points\"x=-10\", \"x=2\"\r
\n" ); document.write( "\n" ); document.write( " at \"x+=+-10\"->max\r
\n" ); document.write( "\n" ); document.write( " at\"+x+=+2\"->minimum\r
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