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I want to make the equation $y=(x-1)^3+0.98$ flatten out after $x=1$ without using a piece-wise function. How can I this? enter image description here

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What do you mean by flatten out? –  Pragabhava Nov 12 '12 at 6:02
    
"Piece-wise function" doesn't make sense. I assume you mean to avoid a piece-wise definition for the a function. Can you explain your motivation? –  Hurkyl Nov 12 '12 at 7:36
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Do you have a particular asymptote in mind? What changes to your function are allowed? What you plotted is not the function you quote: $ (4-1)^3+0.98=26.98$, not $1.22$

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