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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 10E
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax