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,Consider a continuous and differentiable function y=f(x) which contains no inflection points. (For simplicity, you can restrict the analysis below to the positive domain, where x 2 0 and y 2 0.) (a) Explain in words what we can infer about the concavity or convexity of a function like this just by examining its derivatives. (b) Why might concavity/convexity be important in an economic context? (c) Give two concrete mathematical examples of functions which are convex or concave (one of each type) and show how you would check their convexity/concavity using the ideas outlined in part (a). (d) Sketch the functions that you outlined in part (c)