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Chapter 5: Q 8. (page 256)
Evaluate each expression using the values given in the table.
(a) (b) (c) (d) (e) (f) .
The value is
(a) 5 (b)-8(c) 0 (d) 0 (e) 1 (f) 7.
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Is there any function of the form that increases more slowly than a logarithmic function whose base is greater than 1? Explain.
Income Taxes The function
represents the 2011 federal income tax T (in dollars) due for a 鈥渕arried filing jointly鈥� filer whose modified adjusted gross income isg dollars, where
(a) What is the domain of the function T?
(b) Given that the tax due T is an increasing linear function of modified adjusted gross income g, find the range of the function T.
(c) Find adjusted gross income g as a function of federal income tax T. What are the domain and the range of this
function?
Discounts The manufacturer of a computer is offering two discounts on last year鈥檚 model computer. The first discount is a $200 rebate and the second discount is 20% off the regular price, p.
(a) Write a function f that represents the sale price if only the rebate applies.
(b) Write a function g that represents the sale price if only the 20% discount applies.
(c) Find and . What does each of these functions represent? Which combination of discounts represents a better deal for the consumer? Why?
solve equation. Verify your results using a graphing utility.
Radioactive Decay
The half-life of radioactive potassium is 1.3 billion years. If 10 grams is present now, how much will be present in 100 years? In 1000 years?
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