Question

The house-numbers on a certain street go from 1 to 88. The function B(n) models the type of the building whose number is n according to the following key:

(GRAPH ATTATCHED)

What number type is more appropriate for the domain of B?
A. Integer
B. Real Number

What's the appropriate domain?

Answer 1

Hello,

Answer A

`dom (B(n)) =\{0,1,2,3\} =\{ z\ in \ \mathbb{Z} \ |\ 0 \leq z \leq 4\}`

Answer 2

The most appropriate number type for the domain of B is integer.

The domain of function B, which takes a house number as input and outputs the building type as a number.

The house numbers range from 1 to 88, which are all integers. The function B then outputs a number between 0 and 3, corresponding to the four different building types.

Therefore, the most appropriate number type for the domain of B is:

A. Integer

Real numbers include all rational and irrational numbers, spanning from negative infinity to positive infinity, including fractions and decimals. However, house numbers in this case are whole numbers and cannot be fractions or decimals.

Integers, on the other hand, are whole numbers (positive, negative, or zero) and perfectly represent the house numbers on the street.

Therefore, based on the information provided in the graph, integers are the most suitable number type for the domain of function B.