Cells in tissue attach to each other through membrane bound adhesion molecules. Many cells extend protrusions or fillipodia to make adhesion bonds further away than one cell radius. We assume that the cell adhesion force f(x) of a given cell depends on the distance x to the neighboring cell, and is given by 4x f(x) 1+ x² (a) Find the vertical and horizontal asymptotes of f(x). (b) Find local maxima and minima and intervals of increase and decrease of f(x). (c) Find inflection points and intervals of concavity of f(æ). (d) Sketch the graph of f(æ).

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