document.write( "Question 1198860: Describe the end behavior of the function f(x)=2x^7+4x^4-6.\r
\n" ); document.write( "\n" ); document.write( "One of the following is the correct answer. Which one is correct?\r
\n" ); document.write( "\n" ); document.write( "A) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity \r
\n" ); document.write( "\n" ); document.write( "B) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity \r
\n" ); document.write( "\n" ); document.write( "C) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity\r
\n" ); document.write( "\n" ); document.write( "D) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
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Algebra.Com's Answer #832528 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+f%28x%29=2x%5E7%2B4x%5E4-6\"$ \r
\n" ); document.write( "\n" ); document.write( "Use the degree and the leading coefficient to determine the behavior.\r
\n" ); document.write( "\n" ); document.write( " $\"ax%5En\"$ \r
\n" ); document.write( "\n" ); document.write( "Case.......................................................End Behavior of graph\r
\n" ); document.write( "\n" ); document.write( "When $\"n\"$ is odd and $\"a%5Bn%5D\"$ is positive....... Graph falls to the left and rises to the right
\n" ); document.write( "When $\"n\"$ is odd and $\"a%5Bn%5D\"$ is negative....... Graph rises to the left and falls to the right
\n" ); document.write( "When $\"n\"$ is even and $\"a%5Bn%5D\"$ is positive....... Graph rises to the left and right
\n" ); document.write( "When $\"n\"$ is even and $\"a%5Bn%5D\"$ is negative....... Graph falls to the left and right\r
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\n" ); document.write( "\n" ); document.write( "in your case\r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E7\"$ -> $\"a=2\"$ , $\"n=7\"$ \r
\n" ); document.write( "\n" ); document.write( "-> $\"n\"$ is odd and $\"a%5Bn%5D+\"$ is positive=>Graph falls to the left and rises to the right\r
\n" ); document.write( "\n" ); document.write( "answer:\r
\n" ); document.write( "\n" ); document.write( "C) $\"f%28x%29\"$ goes to $\"-infinity\"$ as $\"x\"$ goes to $\"-infinity\"$ , and $\"f%28x%29\"$ goes to $\"%2Binfinity\"$ as $\"x+\"$ goes to $\"%2Binfinity\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-2%2C+2%2C+-10%2C+2%2C+2x%5E7%2B4x%5E4-6%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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