Construct a piecewise function modeling the monthly pre-tax/fees bill.

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Construct a piecewise function modeling the monthly pre-tax/fees bill.

Consider the 2014 Individual Federal Income Tax brackets:

(Source: www.forbes.com)

Write a response that completes the following tasks and meets the list of requirements that follow to build your response for this Critical Thinking Assignment:

  1. Construct a piecewise function modeling the monthly pre-tax/fees bill.
  2. Check your function with the following values:
    • For taxable income of $165,000, the tax liability is $39,375.75
    • For taxable income of $375,000, the tax liability is $107,608.25
    • Does your function agree with these values? If not, make necessary adjustments.
  3. Construct a graph of this function. What are the implied domain and range?
  4. What is your tax liability if your taxable income is $25,000? $42,500? $24,350,000?

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