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)

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yanasidlinskiy · Answer

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yanasidlinskiy · Answer

Something like: $$y=\frac{ 100x }{ x+7 }$$
will approach 100 as either x either increases or decreases. You could use this to begin forming the rational function $$y=\frac{ 100x }{ x(x-1) }$$
It's not finished yet. Notice: you will not have your needed y= 100 for large x.