Math

QuestionWhat is the appropriate domain for the function f(n)f(n) representing man-hours to construct nn televisions? A) all integers where n0n \geq 0 B) all real numbers where n0n \geq 0 C) all rational numbers where n>0n > 0 D) all rational numbers where n0n \geq 0

Studdy Solution

STEP 1

Assumptions1. The function f(n) models the amount of man-hours it takes to construct n televisions. . The domain of a function is the set of all possible input values (n in this case) which will produce a valid output.
3. The number of televisions (n) that can be constructed cannot be a negative number.
4. The number of televisions (n) that can be constructed cannot be a fractional number, as you cannot construct a fraction of a television.

STEP 2

Based on these assumptions, we can eliminate options B, C and D.Option B suggests that n can be any real number where n >=0. This would include fractions and irrational numbers, which do not make sense in this context as we cannot construct a fraction or irrational number of televisions.
Option C suggests that n can be any rational number where n >0. Again, this would include fractions, which do not make sense in this context.
Option D suggests that n can be any rational number where n >=0. Once more, this would include fractions, which do not make sense in this context.

STEP 3

Option A suggests that n can be any integer where n >=0. This makes sense in the context of the problem, as we can construct a whole number of televisions and we cannot construct a negative number of televisions.
Therefore, the appropriate domain for the function is all integers where n >=0.

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