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he textbook, an the previous assignment, you created a piecewise function to model the income tax due based a given level of income. If we extend the endpoints to interpret any real number input, we rive at the following function for the tax due based on an income of x dollars. f(x) = .10x, .12(x-9950) +995, .22(x-40,525) + 4,664, .24(x86,375) +14,751, .32(x-164,925) +33,603, .35(x - 209,425) + 47,843, 37(x - 523,600) + 157,804.25, 1. Find the following. lim f(x) a. X-9950- b. lim f(x) C. lim f(x) d. f(9950) x ≤ 9,950 9,950 < x≤ 40,525 2 40,525 < x≤ 86,375 86,375 < x≤ 164,925 164,925 < x < 209,425 209,425 < x < 523,600 x > 523,600

he textbook, an the previous assignment, you created a piecewise function to model the income tax due based a given level of income. If we extend the endpoints to interpret any real number input, we rive at the following function for the tax due based on an income of x dollars. f(x) = .10x, .12(x-9950) +995, .22(x-40,525) + 4,664, .24(x86,375) +14,751, .32(x-164,925) +33,603, .35(x - 209,425) + 47,843, 37(x - 523,600) + 157,804.25, 1. Find the following. lim f(x) a. X-9950- b. lim f(x) C. lim f(x) d. f(9950) x ≤ 9,950 9,950 < x≤ 40,525 2 40,525 < x≤ 86,375 86,375 < x≤ 164,925 164,925 < x < 209,425 209,425 < x < 523,600 x > 523,600

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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or the textbook, 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. f(x) = . 10x, .12(x-9950) +995, .22(x-40,525) + 4,664, .24(x86,375) +14,751, .32(x - 164,925) +33,603, .35(x - 209,425) + 47,843, 37(x - 523,600) + 157,804.25, 1. Find the following. lim f(x) X-9950- b. lim f(x) C. lim f(x) d. f(9950) x ≤ 9,950 9,950 < x≤ 40,525 w2 40,525 < x≤ 86,375 86,375 < x≤ 164,925 164,925 < x < 209,425 209,425 < x < 523,600 x > 523,600
Transcribed Image Text:or the textbook, 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. f(x) = . 10x, .12(x-9950) +995, .22(x-40,525) + 4,664, .24(x86,375) +14,751, .32(x - 164,925) +33,603, .35(x - 209,425) + 47,843, 37(x - 523,600) + 157,804.25, 1. Find the following. lim f(x) X-9950- b. lim f(x) C. lim f(x) d. f(9950) x ≤ 9,950 9,950 < x≤ 40,525 w2 40,525 < x≤ 86,375 86,375 < x≤ 164,925 164,925 < x < 209,425 209,425 < x < 523,600 x > 523,600
2. Use your work from problem (1) to determine whether the function is continuous at x = 9950. Explain. 3. Show that the function is also continuous/not 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.
Transcribed Image Text:2. Use your work from problem (1) to determine whether the function is continuous at x = 9950. Explain. 3. Show that the function is also continuous/not 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.
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