Exercise 2

The temperature-humidity index \(I\) (or humidex, for short) is the perceived air temperature when the actual temperature is \(T\) and the relative humidity is \(h\), so we can write \(I = f(T, h)\). The following table of values of \(I\) is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration.

  1. What is the value of \(f(95, 70)\)? What is its meaning?
  2. For what value of \(h\) is \(f(90, h) = 100\)?
  3. For what value of \(T\) is \(f(T, 50) = 88\)?
  4. What are the meanings of the functions \(I = f(80, h)\) and \(I = f(100, h)\)? Compare the behavior of these two functions of \(h\).