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The thermostat in an empty apartment is set to 65° F from 4:00 a.m. to 5:00 p.m. and to 50°F from 5:00 p.m. until 4:00 a.m. Here is a graph of the function H that gives the temperature I (x) in degrees Fahrenheit in the apartment x hours after midnight.

The thermostat in an empty apartment is set to 65° F from 4:00 a.m. to 5:00 p.m. and to 50°F from 5:00 p.m. until 4:00 a.m. Here is a graph of the function H that gives the temperature I (x) in degrees Fahrenheit in the apartment x hours after midnight.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
The thermostat in an empty apartment is set to 65° F from 4:00 a.m. to 5:00 p.m. and to 50°F from 5:00 p.m. until 4:00 a.m. Here is a graph of the function H that gives the temperature I (x) in degrees Fahrenheit in the apartment x hours after midnight.
The thermostat in an empty apartment is set to 65°F from 4:00 a.m. to 5:00 p.m. and to 50°F from 5:00 p.m. until 4:00 a.m. Here is a graph of the function H that gives the temperature H(x) in degrees Fahrenheit in the apartment x hours after midnight. y₁ 80 75 70 65 60 55 50 45 y = H(x) 2 G 4 6 8 10 1. The owner of the apartment decides to change to a new schedule and they set the thermostat to change 3 hours later in the morning and the evening. On the same axes, sketch a graph of the new function, G, giving the temperature as a function of time. 12 14 16 18 20 22 Sketch the graph in your workbook to assist in answering the following questions. c.) If H (6.5) = 65, then what is the corresponding point on the graph of G? Use function notation to describe the point on the graph of G. G(x) = d.) Write an expression for G in terms of H. =
Transcribed Image Text:The thermostat in an empty apartment is set to 65°F from 4:00 a.m. to 5:00 p.m. and to 50°F from 5:00 p.m. until 4:00 a.m. Here is a graph of the function H that gives the temperature H(x) in degrees Fahrenheit in the apartment x hours after midnight. y₁ 80 75 70 65 60 55 50 45 y = H(x) 2 G 4 6 8 10 1. The owner of the apartment decides to change to a new schedule and they set the thermostat to change 3 hours later in the morning and the evening. On the same axes, sketch a graph of the new function, G, giving the temperature as a function of time. 12 14 16 18 20 22 Sketch the graph in your workbook to assist in answering the following questions. c.) If H (6.5) = 65, then what is the corresponding point on the graph of G? Use function notation to describe the point on the graph of G. G(x) = d.) Write an expression for G in terms of H. =
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