The function f(x) = 2.91x + 20.1 models the medianheight, f(x), in inches, of boys who

Chapter 2, Problem 127

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The function f(x) = 2.91x + 20.1 models the medianheight, f(x), in inches, of boys who are x months of age. Thegraph of f is shown.a. Describe how the graph can be obtained usingtransformations of the square root functionf(x) = 1x.b. According to the model, what is the median heightof boys who are 48 months, or four years, old? Use acalculator and round to the nearest tenth of an inch.The actual median height for boys at 48 months is 40.8inches. How well does the model describe the actualheight?c. Use the model to find the average rate of change, ininches per month, between birth and 10 months. Roundto the nearest tenth.d. Use the model to find the average rate of change, ininches per month, between 50 and 60 months. Roundto the nearest tenth. How does this compare with youranswer in part (c)? How is this difference shown by thegraph?