Grade 12 Math Starter Lesson: Complex Function Models
By Newsela Staff
Last updated 4 months ago
8 Questions
Note from the author:
In this lesson, you will compare the temperature at two different locations using complex functions to model temperature over time.
Essential Question: How can function models help us make predictions?
In this lesson, you will compare the temperature at two different locations using complex functions to model temperature over time.
Essential Question: How can function models help us make predictions?
The temperature at the beach varies throughout the day. The temperatures vary according to the sinusoidal function:
A(t)= 19+6sin (\pi (t - \dfrac{1}{2}))
where t is the temperature (ºC) and A(t) is the time in hours past midnight.
The temperature in the desert is modeled by the function B(t)=\dfrac{35t(t-5)}{t^2+8t+16} + 17, where t is the temperature (°𝐶) and A(t) is the time in hours past midnight.