Question

WEST SELLE the 14/1/1 A vacation home in Long Beach, Caliomia rents for $165 per day. The function f(x) = 165x glves the cost of renting the home for x days. What is the domain of this function? A X20 B {0, 1, 2, 3, ...) C {0, 165, 330, 495, ...) Dal real numbers [PLEASE BE CAREFUL, THIS IS ONE OF THE MOST MISSED QUESTIONS, THINK BEFOR doo B D

Answer 1

We have the following function

`f(x)=165x`

Where x is the number of days and f(x) is the corresponding rent.

The domain is all the possible values for x (number of days )

Now we know that you cannot rent for a fractional number of days or negative number of days so option D is straight away incorrect since real numbers also include integers and rational numbers.

The number of possible days must be discrete like 0, 1, 2, 3 and so on

So, option B makes complete sense for the domain of this function.

The domain of the function is

`domain=\mleft\lbrace0,1,2,3,\ldots\mright\rbrace`

Note that option A (x ≥ 0) suggests that the numbers of days may also be decimal like 0.15, 1.23 etc. so it is also incorrect.

Also, option C is the range of the function that is possible values of rent f(x) so it is also incorrect.