POINTS – A person's temperature, T in degrees Fahrenheit, during an illness is given by the function T(t) : where time t is given in hours since the onset of the illness. = 4t + 98.6, t²+1 a) Using Desmos or some electronic graphing tool, graph the rational function that represents the person's temperature. Graph the function on the interval [0, 48] and choose a range that best fits this scenario. Title and label all parts of the graph. b) Evaluate the function at t = 0, 1, 2, 5, 12, and 24. What do these values represent? c) Using your graph from part a), complete the statement by filling in the blank. T(t) → ast co e) Describe the meaning of the answer in part d in terms of the application. f) Using Desmos or some electronic graphing tool, identify the maximum temperature during the illness. At what time does the maximum temperature occur since the onset of the illness?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
Question
POINTS – A person's temperature, T in degrees Fahrenheit, during an illness is given by the function T(t) :
where time t is given in hours since the onset of the illness.
=
4t
+ 98.6,
t²+1
a) Using Desmos or some electronic graphing tool, graph the rational function that represents the person's temperature.
Graph the function on the interval [0, 48] and choose a range that best fits this scenario.
Title and label all parts of the graph.
b) Evaluate the function at t = 0, 1, 2, 5, 12, and 24. What do these values represent?
c) Using your graph from part a), complete the statement by filling in the blank.
T(t) →
ast co
e) Describe the meaning of the answer in part d in terms of the application.
f) Using Desmos or some electronic graphing tool, identify the maximum temperature during the illness.
At what time does the maximum temperature occur since the onset of the illness?
Transcribed Image Text:POINTS – A person's temperature, T in degrees Fahrenheit, during an illness is given by the function T(t) : where time t is given in hours since the onset of the illness. = 4t + 98.6, t²+1 a) Using Desmos or some electronic graphing tool, graph the rational function that represents the person's temperature. Graph the function on the interval [0, 48] and choose a range that best fits this scenario. Title and label all parts of the graph. b) Evaluate the function at t = 0, 1, 2, 5, 12, and 24. What do these values represent? c) Using your graph from part a), complete the statement by filling in the blank. T(t) → ast co e) Describe the meaning of the answer in part d in terms of the application. f) Using Desmos or some electronic graphing tool, identify the maximum temperature during the illness. At what time does the maximum temperature occur since the onset of the illness?
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