SOLUTION: The temperature of a patient during an illness is given by the function​ below, where T is the​ temperature, in degrees​ Fahrenheit, at time​ t, in​ d

Algebra ->  Trigonometry-basics -> SOLUTION: The temperature of a patient during an illness is given by the function​ below, where T is the​ temperature, in degrees​ Fahrenheit, at time​ t, in​ d      Log On


   



Question 1036573: The temperature of a patient during an illness is given by the function​ below, where T is the​ temperature, in degrees​ Fahrenheit, at time​ t, in​ days, after the onset of the illness. Graph the function using a graphing calculator and use the MAXIMUM feature to find at what time the​ patient's temperature was highest. What was the highest​ temperature?
T(t)=0.5t^2+3t+98.6,0 *sign is < than equal to
A). Use the MAXIMUM feature to determine at what time the​ patient's temperature was the highest.
t= days?
B).What is the highest temperature?
T=

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I have to edit the function, for +0.5t^2 will show a continuously increasing function.
graph%28300%2C200%2C-5%2C10%2C90%2C120%2C0.5x%5E2%2B3x%2B98.6%29
graph%28300%2C200%2C-5%2C5%2C0%2C120%2C-0.5x%5E2%2B3x%2B98.6%29
The maximum function shows a temperature of 103.1F at 3 days. This is consistent with the vertex's being -3/-1 or 3.