Determine an interval of f that satisfies the intermediate Value theorem. Support your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine an interval of f that satisfies the intermediate Value theorem. Support your answer.

MECHANICS: (You may use a scientific calculator for this task.)
The piecewise function f represents the prescribed minimum withholding tax of a person whose
monthly compensation is x pesos.
x< 20,833
0.20 (x – 20,833)
2,500 + 0.25 (x - 33,333)
10,833 + 0.30 (x- 66,667)
40,833 + 0.32 (x- 166,667)
200,833 + 0.35 (x- 666,667)
20,833 Sx< 33,333
33,333 <x< 66,667
66,667 Sx<166,667
f(x) =
166,667 Sx< 666,667
x2 666,667
Transcribed Image Text:MECHANICS: (You may use a scientific calculator for this task.) The piecewise function f represents the prescribed minimum withholding tax of a person whose monthly compensation is x pesos. x< 20,833 0.20 (x – 20,833) 2,500 + 0.25 (x - 33,333) 10,833 + 0.30 (x- 66,667) 40,833 + 0.32 (x- 166,667) 200,833 + 0.35 (x- 666,667) 20,833 Sx< 33,333 33,333 <x< 66,667 66,667 Sx<166,667 f(x) = 166,667 Sx< 666,667 x2 666,667
Assigned Value of a
20,000
30,000
40,000
50,000
80,000
Assigned Value of a
90,000
200,000
400,000
700,000
800,000
Last digit of CN
Last digit of CN
1
7
2
3
4
Transcribed Image Text:Assigned Value of a 20,000 30,000 40,000 50,000 80,000 Assigned Value of a 90,000 200,000 400,000 700,000 800,000 Last digit of CN Last digit of CN 1 7 2 3 4
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