document.write( "Question 373003: (0,1)(1,0.5)(2,0.25)(3,0.125)(4,0.0625)what is the rule for this function and can you please show how you got the answer \n" ); document.write( "

Algebra.Com's Answer #265599 by robertb(5830) $\"\"$ $\"About$

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x= 4, f(4) = 0.0625,
\n" ); document.write( "x =3, f(3) = 0.125,
\n" ); document.write( "x = 2, f(2) = 0.25,
\n" ); document.write( "x = 1, f(1) = 0.5,
\n" ); document.write( "x = 0, f(0) = 1.
\n" ); document.write( "Notice that $\"%28f%28x%29%29%2F%28f%28x-1%29%29+=+1%2F2\"$ . Hence
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*...*

*...* $\"%281%2F2%29%2A%281%2F2%29\"$ , the product having x factors. The left most expression gives way to a chain-reaction of cancellations, giving $\"%28f%28x%29%29%2F%28f%280%29%29+=+%281%2F2%29%5Ex+=+1%2F2%5Ex\"$ . But f(0) = 1, thus
\n" ); document.write( " $\"f%28x%29+=+1%2F2%5Ex\"$ .\r
\n" ); document.write( "\n" ); document.write( "And that my STUDENT, is how it's done.... \n" ); document.write( "

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