49-50 . Finding Piecewise Defined Functions A Graph of a
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Chapter 2 Solutions
Algebra and Trigonometry
- The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in tons per week, and p is measured in thousands of people. a.The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. b.Explain the meaning of the statement f(5)=2 .arrow_forwardShow that the function f(x)=3(x5)2+7 is not one-to-one.arrow_forwardTaxicab Function A taxi company charges 2.00 for the first mile or part of a mile and 20 cents for each succeeding tenth of a mile or part Express the cost C in dollars of a ride as a piecewise defined function of the distance x travelled in miles for 0x2 and sketch a graph of this function.arrow_forward
- Taxicab Function A taxi company charges $2.00 for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0x2 , and sketch a graph of this function.arrow_forwardDomain Find the domain of the function. h(x)=In(x24)arrow_forwardCost of a Hotel Stay A hotel chain charges 75 each night for the first two night and 50 for each additional nights stay. The cost T is the function of the number of nights x that a guest stays. a Complete the expressions in the following piecewise defined function. T(x)={if0x2ifx>2 b Find T(2),T(3),andT(5). c What do your answers in part b represent?arrow_forward
- Postage Rates The 2014 domestic postage rate for first class letters weighing 3.5 oz or less is 49 cents for the first ounce or less, plus 21 cents for each additional ounce or part of an ounce. Express the postage P as a piecewise defined function of the weight x of a letter, with 0x3.5, and sketch a graph of this function.arrow_forwardResale Value: The resale value V, in dollars, of a certain car is a function of the number of year t since the year 2012. In the year 2012, the resale ale is 18,000 and each year thereafter the resale value decreases by 1700. a. What is the resale value in the year 2013? b. Find a formula for V as a function of t. c. Make a graph of V versus t covering the first 4 years since the year 2012. d. Use functional notation to express the resale value in the year 2015, and then calculate that value.arrow_forward
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