Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 18 (a)/Statement

In a particular market, the demand and supply functions for a quantity $q$ of a good are given below: $$D(q)=\frac{1}{2^q}+1,S(q)=\{\begin{array}{ll}0& \text{ for }q\le 10\\ \frac{q}{10}-1& \text{ for }q>10.\end{array}$$

(a) Aside from its name, how can you tell that $D(q)$ is the demand function (and not the supply function)?

Circle the best way to complete the sentence, "$D(q)$ is the demand function, because ..."

A. $D(q)\ge 0$ for all q.	E. it is not piecewise defined.
B. $\underset{q\to \mathrm{\infty }}{\lim }D(q)=0.$	F. it is increasing.
C. it has an asymptote.	G. it is decreasing.
D. $\underset{-\mathrm{\infty }}{\overset{\mathrm{\infty }}{\int }}D(q)\mathrm{d}q=1.$	H. it is continuous.