document.write( "Question 878234: Find an expression for a rational function ƒ(x) that satisfies the conditions: a horizontal asymptote at y = 100, vertical asymptotes at x = 0 and x = 1, and contains the point (6, 2). \n" ); document.write( "

Algebra.Com's Answer #529759 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Something like $\"y=100x%2F%28x%2B7%29\"$ will approach 100 as x either increases or decreases without bound. Any such $\"y=100x%2F%28x%2Bk%29\"$ for some constant k will also approach 100. That helps you understand the horizontal asymptote you want.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your vertical asymptote specification means you must have denominator with factors x and (x-1). You could use this to begin forming the rational function, $\"y=100x%2F%28x%28x-1%29%29\"$ but this is not yet finished. Notice that you will not have your needed y=100 for large x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "? Try $\"y=%28100x%2B1%29%28x%2B1%29%2F%28x%28x-1%29%29\"$ arbitrarily picking the \"plus one\" just so as not to interfere with the vertical asymptotes. This is still not ready. You must yet form the function to include (6,2). \n" ); document.write( "

\n" );