vertical and horizontal asymptotes as equations for the function (y= x=)

Graph of h p(k) h = p(k) -2- 8- a) Draw a tangent line at (0,0). b) Somewhere up around (2,6), there is another point on the graph where the tangent line is parallel to the tangent line at (0,0). Locate that point. Draw the tangent line there. c) Somewhere on this graph is another point where the tangent line is perpendicular to the tangent line at (0,0). Locate that point. Draw the tangent line there. d) Can the graph of a function intersect a vertical asymptote? 4-

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Volume of a spherical cap A single slice through a sphere of radius r produces a cap of the sphere. If the thickness of the cap is h, then its volume is V = 1/ 3πh2 (3r – h). Graph the volume as a function of h for a sphere of radius 1. For what values of h does this function make sense?