Functions and Graphing Techniques

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Mathematics

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Attached document below is the question for the graphing. 2.5.83

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2.5.83 This requires you to do the graphs by hand, without technology. In the given graph, the temperature T (in degrees Fahrenheit) of a home is given as a function of time t (in hours after midnight) over a 24hour period. AT 72- 68- 64- 60- 56- t 0 6 12 18 24 (a) At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight? (b) The homeowner reprograms the thermostat to y = T(t) – 6. Explain how this change affects the temperature in the house. Graph this new function. (c) The homeowner reprograms the thermostat to y = T(t + 5). Explain how this change affects the temperature in the house. Graph this new function. .
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