The table below gives the income tax due, f(x), on each given taxable income, x. 1....

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The table below gives the income tax due, f(x), on each given taxable income, x. 1. What are the domain and the range of the function in the table? 2. Create a scatter plot of the data. 3. Do the points appear to lie on a line? 4. Do the inputs change by the same amount? Do the outputs change by the same amount? 5. Is the rate of change in tax per S1 of income con- stant? What is the rate of change? 6. Will a linear function fit the data points exactly? 7. Write a linear function y = g(x) that fits the data points. 8. Verify that the linear model fits the data points by evaluating the linear function at x = 63,900 and x = 64,100 and comparing the resulting y-values with the income tax due for these taxable incomes. 9. Is the model a discrete or continuous function? 10. Can the model be used to find the tax due on any tax- able income between $63,700 and $64,300? 11. What is the tax due on a taxable income of $64,150, according to this model? U.S. Federal Taxes Taxable Income ($) Income Tax Due ($) 63,700 8779 63.800 8804 63,900 8829 64,000 8854 64,100 8879 64,200 8904 64,300 8929 The table below gives the income tax due, f(x), on each given taxable income, x. 1. What are the domain and the range of the function in the table? 2. Create a scatter plot of the data. 3. Do the points appear to lie on a line? 4. Do the inputs change by the same amount? Do the outputs change by the same amount? 5. Is the rate of change in tax per S1 of income con- stant? What is the rate of change? 6. Will a linear function fit the data points exactly? 7. Write a linear function y = g(x) that fits the data points. 8. Verify that the linear model fits the data points by evaluating the linear function at x = 63,900 and x = 64,100 and comparing the resulting y-values with the income tax due for these taxable incomes. 9. Is the model a discrete or continuous function? 10. Can the model be used to find the tax due on any tax- able income between $63,700 and $64,300? 11. What is the tax due on a taxable income of $64,150, according to this model? U.S. Federal Taxes Taxable Income ($) Income Tax Due ($) 63,700 8779 63.800 8804 63,900 8829 64,000 8854 64,100 8879 64,200 8904 64,300 8929

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