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In Mathematics / High School | 2014-05-04

If the function \( h(x) \) represents the number of full hours that it takes a person to assemble \( x \) sets of tires in a factory, which would be an appropriate domain for the function?

1. The set of real numbers
2. The set of negative integers
3. The set of integers
4. The set of non-negative integers

Why?

Asked by angelicaser

Answer (2)

Of course the D answer is correct. The number of sets of tires must be a whole number. It can't be real number because it is impossible to assemble for example 3.2321 set of tires.The negative -- it certainly also isn't possible. The amount can't be a negative number that's why C isn't correct as well.

Answered by marmal | 2024-06-24

The appropriate domain for the function h ( x ) , which represents the assembly time for tire sets, is the set of non-negative integers. This means the possible values of x can only be whole numbers starting from zero onward. Therefore, the correct choice is option 4: the set of non-negative integers.
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Answered by marmal | 2024-10-30