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.

(a) What is the value of f (95, 70)? What is its meaning?
(b) For what value of h is f (90, h) = 100?
(c) For what value of T is f (T, 50) = 88?
(d) 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.

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Relative humidity (%) 30 40 50 60 70 82 83 80 77 78 79 81 85 82 84 86 88 90 93 90 87 90 93 100 106 96 96 107 95 93 101 114 124 100 99 144 104 110 120 132 Actual temperature (°F) 20