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:

$$D(q)={\frac {1}{2^{q}}}+1,\qquad S(q)={\begin{cases}0&{\text{ for }}q\leq 10\\{\frac {q}{10}}-1&{\text{ for }}q>10.\end{cases}}$$

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