(a) Match the functions x, x2, x3, x1/2, x1/3, x3/2 with the graphs in Figure 11.12

Chapter 11, Problem 11.1.32

(choose chapter or problem)

(a) Match the functions x, x2, x3, x1/2, x1/3, x3/2 with the graphs in Figure 11.12. Justify your choice. (b) What is the relationship between the concavity of y = x2 and y = x1/2? Between the concavity of y = x3 and y = x1/3 for x > 0? Explain why this happens.

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