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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 lens 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 all our money and no one has an incentive to work. With no income earned, zero dollars in tax revenue is generated.
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 f a polynomial function? Explain your answer.
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Chapter 3 Solutions
Pearson eText Algebra & Trigonometry -- Instant Access (Pearson+)
- 1 Matching 10 points Factor and Solve 1)x3-216 0, x = {6,[B]} 2) 16x3 = 54 x-[3/2,[D]] 3)x4x2-42 0 x= [ +/-isqrt(7), [F] } 4)x+3-13-9x x=[+/-1.[H]] 5)x38x2+16x=0, x = {0,[K}} 6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3)) 7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}} 8) 5x³-3x²+32x=2x+18 x = {3/5, [S]} [B] [D] [F] [H] [K] [M] [Q] +/-2 sqrt(2) +/- i sqrt(6) (-3+/-3 i sqrt(3))/4 +/- 1 +/-sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3) [S]arrow_forwardThe only problems I need help with ae the last 8 ones, Thanksarrow_forwardGraph without using the calculator y-1 = | x+4 |arrow_forward
- 9:43 AS く Akbar © Printed in the United States 15) Scale: 1 cmal unit on both axes .ill 64% The graph above shows a straight line QT intersecting the y-axis at T. i State the co-ordinates of T. ii Calculate the gradient of QT 16) iii Determine the equation of QT. A (-1, 9) ||| i L Г (5 marks)arrow_forwardPls help.arrow_forwardPls help.arrow_forward
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