Exercise 7

The temperature change $T$ (in Fahrenheit degrees), in a patient, that is generated by a dose $q$ (in milliliters), of a drug, is given by the function $T = f(q)$.

1. What does it mean to say $f(50) = 0.75$? Write a complete sentence to explain, using correct units.

2. A person's sensitivity, $s$, to the drug is defined by the function $s(q) = f'(q)$. What are the units of sensitivity?

3. Suppose that $f'(50) = -0.02$. Write a complete sentence to explain the meaning of this value. Include in your response the information given in (a).