Concept explainers
During the 1980s the controversial economist Arthur Laffer promoted the idea that tax increases lead to a reduction in government revenue. Called supply-side economics, the theory uses functions such as
This function models the government tax revenue. f(x), in tens of billions of dollars, in terms of the tax rate, x. the graph of the function is shown, It illustrates tax revenue decreasing quite dramatically as the tax rate increase. At a tax rate of (gasp) 100%. the government takes oil our money and no one has an incentive to work. With no income earned, zero dollars in fox revenue is generated.
Use function f and its graph to solve Exercises 55-56
a. Find and interpret f(30). Identify the solution as a point on the graph. of the function.
b. Rewrite the function by using long division to perform
Then use this new form of the function to find f(30). Do you obtain the same answer as you did in part (a)?
c. is fa polynomial function? Explain your answer.
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