Question: (a) Draw the graph of a function f whose domain is the interval (1, 3), and whose tangent line at x = 2 lies entirely

(a) Draw the graph of a function f whose domain is the interval (1, 3), and whose tangent line at x = 2 lies entirely above the graph of f. Is the graph of f concave up or concave down at x = 2? (b) Draw the graph of a function f whose domain is the interval (1, 3), and whose tangent line at x = 2 lies entirely below the graph of f. Is the graph of f concave up or concave down at x = 2? (c) Draw the graph of a function f whose domain is the interval (0,5), and whose tangent line at x = 2 intersects the graph of f at x = 4. (This illustrates that the idea that "a tangent line intersects a graph only once" isn't entirely accurate, although it is true "locally", that is, close to the point of tangency.) (d) Suppose f"(x)
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