For t > 0, let H (t) = 68 +93(0.91) represent the temperature of a cup of coffee in degrees Fahrenheit & minutes after it is brought to class. 1. Find formulas for H (t + 15) and H (t) + 15. 2. Graph H (t), H (t+15), H (t) + 15. 3. Describe the transformations of the graph of H (t) that will result in the graphs of H (t+15) and H (t) + 15. 4. Find lim+→∞ H(t) and describe the practical significance of the horizontal asymptota
For t > 0, let H (t) = 68 +93(0.91) represent the temperature of a cup of coffee in degrees Fahrenheit & minutes after it is brought to class. 1. Find formulas for H (t + 15) and H (t) + 15. 2. Graph H (t), H (t+15), H (t) + 15. 3. Describe the transformations of the graph of H (t) that will result in the graphs of H (t+15) and H (t) + 15. 4. Find lim+→∞ H(t) and describe the practical significance of the horizontal asymptota
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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I need help with questions 1-5 please. I am having a hard time understanding what is being asked.
![For t > 0, let H (t) = 68 +93(0.91) represent the temperature of a cup of coffee in
degrees Fahrenheit t minutes after it is brought to class.
1. Find formulas for H (t+15) and H (t) + 15.
2. Graph H (t), H (t + 15), H (t) + 15.
3. Describe the transformations of the graph of H (t) that will result in the graphs of
H (t+15) and H (t) + 15.
4. Find lim+→∞ H(t) and describe the practical significance of the horizontal
asymptote.
5. Describe in practical terms a situation modeled by the function H (t + 15). Do the
same for H (t) + 15. [Hint: Think about your work from the previous part.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd627bc06-52c0-4d11-87e8-f3ff50368dcf%2Facea049a-a048-491d-81b2-b6e11d14e193%2F0s782p_processed.png&w=3840&q=75)
Transcribed Image Text:For t > 0, let H (t) = 68 +93(0.91) represent the temperature of a cup of coffee in
degrees Fahrenheit t minutes after it is brought to class.
1. Find formulas for H (t+15) and H (t) + 15.
2. Graph H (t), H (t + 15), H (t) + 15.
3. Describe the transformations of the graph of H (t) that will result in the graphs of
H (t+15) and H (t) + 15.
4. Find lim+→∞ H(t) and describe the practical significance of the horizontal
asymptote.
5. Describe in practical terms a situation modeled by the function H (t + 15). Do the
same for H (t) + 15. [Hint: Think about your work from the previous part.]
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