Question

Susan makes and sells rectangular quilts of different sizes. The width of each rectangular quilt is 3 units less than its length. The area of each quilt can be modeled by the function f(x)=x(x-3) , where x represents the length of the quilt. What is the reasonable domain of the function in the given context?

A. all integers

B. all integers greater than 0

C. all integers greater than 3

D. all integers greater than 3 and less than 0

Answer 1

The area is
f(x) = x(x - 3).

The area cannot be zero.
However, f= 0 when x = 0 or when x = 3.
Therefore the domain includes x >3.

Answer: C. all integers greater than 3.