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Complete Question:
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In which of the following functions would it be appropriate to use only positive integers for the domain? Select all that apply.
The function c(p) represents The cost for P people to attend the movies. The function m(t) represents the miles driven over T hours. The function t(m) represents the average high temperature for a given number of months. The function p(w) represents the prophet of a farmer who sells whole watermelons. The function h(n) represents the number of person-hours it takes to assemble n engines in a factory.
Answer Explanation:
A function can only be hold true if there is a proper set of input values which make the function defined. So, all potential values which are able to make the function defined are terms as domain of that function.
Set of positive integers = {0, 1, 2, 3, .....}
Set of positive integers can also be termed as set of non negative integers.
Here are the appropriate function scenarios where it is appropriate to use only positive integers.
Only following functions are fit and worthy to use only positive integers as they contain the variables which have the values that appropriately lie in the set of non-negative integers - commonly called set of positive integers.
The scenario of Function involving People:
The function c(p) represents The cost for P people to attend the movies.
As people can either be zero or greater than zero and they can not be termed as less then zero as they can not be negative. So, The function c(p) must use only positive integers.
The scenario involving miles:
The function m(t) represents the miles driven over T hours
As the miles are normally calculated from 1 and they can not be termed as less then zero as they can not be negative. So, The function m(t) must use only positive integers.
The scenario involving months:
The function t(m) represents the average high temperature for a given number of months.
As the months are normally calculated from 1 and they can not be termed as less then zero as they can not be negative. So, The function t(m) must use only positive integers.
The scenario the number of watermelons:
The function p(w) represents the prophet of a farmer who sells whole watermelons.
As the watermelons are normally calculated from 1 and they can not be termed as less then zero as they can not be negative. So, The function p(w) must use only positive integers.
The scenario the number of engines:
The function h(n) represents the number of person-hours it takes to assemble n engines in a factory.
As the engines are normally calculated from 1 and they can not be termed as less then zero as they can not be negative. So, The function h(n) must use only positive integers.
Keywords: input value, domain, function, positive integer
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