3. Write an equation that represents the transformations formed by the following items: (a) horizontally shifting the graph 4 units to the left of f(x) = Vx and then vertically compression by a factor of (b) vertically stretching the graph by a factor of 4 of f(x) = Vx and then vertically shifting the graph 3 units up (c) horizontally stretching the graph of f(x) = Vx by a factor of 2 and then vertically shifting the graph 6 units down

3. Write an equation that represents the transformations formed by the following items: (a) horizontally shifting the graph 4 units to the left of f(x) = Vx and then vertically compression by a factor of (b) vertically stretching the graph by a factor of 4 of f(x) = Vx and then vertically shifting the graph 3 units up (c) horizontally stretching the graph of f(x) = Vx by a factor of 2 and then vertically shifting the graph 6 units down

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...

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A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.
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. A calculator company found that the cost of producing x graphing calculators per day isC(x) = 4x + e^0.02x.(This ignores the original research and development cost, which is quite large.)(a) If each calculator is priced at $80, find a revenue function, R(x), which gives the revenuefor x calculators sold.(b) Find the profit function, P(x), which gives the profit per day when x calculators areproduced and each later sold for $80.(c) Find the value of x that will maximize P(x). Use the second derivative test to show thatit yields a maximum.(d) Given that one cannot produce a fraction of a calculator, find the daily production levelthat will maximize profit. Please answer in a complete sentence.
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At a crime scene, a forensic technician found the body temperature of the victim was 33 degree celcius at 6:00 pm. One hour later, the coroner arrived and found the body temperature of the victim fell to 31.5 degree celcius. The forensic technician determined that the change in the atmospheric temperature could be modelled satisfactorily as 20e^-.02t in the time window of +3 hours starting at 6:00 pm. It is known that the body temperature of alive person is 37 degree celcius. When was the victim murdered?