Math 31 Derivatives Project Mystery Curve In this activity, you will explore the meaning of continuity, differentiability, and other analytic features of a curve. Part II: Follow the algorithm to sketch the curve f(x) = sin2(x) + cosx, 0 s x s 22:. domain and range x- and y-intercepts symmetry (even, odd or neither) asymptotes (vertical, horizontal or slant/oblique) intervals of increase and/or decrease extrema points (local/relative and global/absolute) concavity points of inflection sketch of curve (graph provided on last page)