Help help please explain the answers79,85,91 110 CHAPTER 2 Functions and Their Graphs(a) Find R(0), R(3), and R(5) and explain what each value89. The equation y = (x – c)² defines a family of parabolas,the intervals [-3,3] and [11, 19] and decreasingon the interval [3, 11], determine the interval(s) onrevenues R, in billions of dollars, for the years 2axes, graph the members of the family for c = 0, c = 3,86. Digital Music Revenues The total worldwide digital muic2012 throughone parabola for each value of c. On one set of coordinate78. The graph of a function f is illustrated in the figure.(a) Graph y = |f(x)| .(b) Graph y = f(|x|).2017 can be modeled by the functionR(x) = 0.15x² – 0.03x + 5,46where x is the number of years after 2012(1, 1)(2, 0)(-2, 0)3 Xrepresents.(b) Find r(x) = R(x – 2).(c) Find r(2), r(5) and r(7) and explain what each .(0,-1)(-1, -1)-2-represents.79. Suppose (1,3) is a point on the graph of y = f(x).(a) What point is on the graph of y = f(x + 3) – 5?(b) What point is on the graph of y = -2f(x – 2) + 1?(c) What point is on the graph of y = f(2x + 3)?80. Suppose (-3, 5) is a point on the graph of y = g(x).(a) What point is on the graph of y = g(x + 1) – 3?(b) What point is on the graph of y = -3g(x – 4) + 3?(c) What point is on the graph of y = g(3x + 9)?(d) In the model r = r(x), what does x represent?(e) Would there be an advantage in using the model r wheestimating the projected revenues for a giveninstead of the model R?Source: IFPI Digital Music Report 201787. Temperature Measurements The relationship betweenthe Celsius (°C) and Fahrenheit (°F) scales for measuringtemperature is given by the equation81. Graph the following functions using transformations.(a) f(x) = int(-x)82. Graph the following functions using transformations(a) f(x) = int(x – 1)83. (a) Graph f(x) = |x – 3| – 3 using transformations.(b) Find the area of the region that is bounded by f andthe x-axis and lies below the x-axis.(b) g(x) = -int (x)F = -C + 32(b) g(x) = int(1 – x)The relationship between the Celsius (°C) and Kelvin (K).scales is K = C + 273. Graph the equation F =C + 32using degrees Fahrenheit on the y-axis and degrees Celsius84. (a) Graph f(x) = -2|x – 4| + 4 using transformations.(b) Find the area of the region that is bounded by f andthe x-axis and lies above the x-axis.on the x-axis. Use the techniques introduced in this sectionto obtain the graph showing the relationship betweenKelvin and Fahrenheit temperatures.85. Thermostat Control Energy conservation experts estimatethat homeowners can save 5% to 10% on winter heatingbills by programming their thermostats 5 to 10 degreeslower while sleeping. In the graph below, the temperature T(in degrees Fahrenheit) of a home is given as a function oftime t (in hours after midnight) over a 24-hour period.88. Period of a Pendulum The period T (in seconds) of a simplependulum is a function of its length I (in feet) defined by theequationT = 27.a bns zwhere g = 32.2 feet per second per second is theacceleration due to gravity.8076(a) Use a graphing utility to graph the function T = T(1)-7268(21, 72)(b) Now graph the functions T = T(1 + 1), T = T(l+ 2).and T = T(1 + 3).64(6, 65)(c) Discuss how adding to the length I changes theperiod T.6056-(d) Now graph the functions T= T(21), T = T(|)-and T = T(41).812 16 20 24Time (hours after midnight)(e) Discuss how multiplying the length / by factors ol 21and 4 changes the period T.(a) At what temperature is the thermostat set duringdaytime hours? At what temperature is the thermostatset overnight?(b) The homeowner reprograms the thermostatto y = T(1) - 2. Explain how this affects thetemperature in the house. Graph this new function(c) The homeowner reprograms the thermostatto y = T(t + 1). Explain how this affects thetemperature in the house. Graph this new function.Source: Roger Albright, 547 Ways to Be Fuel Smart, 2000and c = -2.90. Repeat Problem 89 for the family of parabolas y91. Challenge Problem If a function f is increasine ngwhich g(x) = -3f(2x – 5) is increasing.Temperature (°F)

Name: Help help please explain the answers79,85,91 110 CHAPTER 2 Functions a
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Description: Help help please explain the answers79,85,91 110 CHAPTER 2 Functions and Their Graphs(a) Find R(0), R(3), and R(5) and explain what each value89. The equation y = (x – c)² defines a family of parabolas,the intervals [-3,3] and [11, 19] and decreasing