or the textbook, and In the previous assignment, you created a piecewise function to model the income tax due based on a given level of income. If we extend the endpoints to interpret any real number input, we arrive at the following function for the tax due based on an income of x dollars. . 10x. * $ 9,950 . 12(x - 9950) + 995, 9,950 523,600 1. Find the following. a. lim f(x) X-+9950- b. lim C. lim f(x) -+0950 d. /(9950)2. Use your work from problem (1) to determine whether the function is continuous at } 9950, Explain. 3. Show that the function is also continuousot continuous at x = 40,525. 4. Based on your work from above, on what interval (s) do you expect the function to be continuous. Note the domain carefully.5. Suppose instead we had the following tax structure. . 10x, x $ 9,950 . 12x . 9,950 523,600 where x is a person's taxable income. Is this function continuous at x = 40,525? Explain. 6. Explain in terms of the real-world situation why this would not be a logical tax structure. That is, using your work from question five (5). explain why continuity is important for the function that tells us income tax due. Consider people who fall at a taxable income near an endpoint of one of the equation's domains