Mathematics, 26.09.2019 15:50 341404143

Which of the following scenarios exhibits a function relation? take the first set listed to be the domain of the relation.
a. the set of tree heights and the set of trees in a forest
b. the set of car make and models and the set of people in a certain town
c. the set of birthdays and the set of students in a class
d. the set of people with social security cards and the set of social security numbers

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Answers

The correct answer is d) the set of people with Social Security cards and the set of Social Security numbers.

Explanation:
A function is a relation in which each element of the domain is mapped with no more than one element of the range. This means that no domain element can be mapped with more than one range element.

One tree height can be the same for more than one tree, so this is not a function.
The same make and model of a car can be owned by more than one person, so this is not a function.
A specific birthday can be shared by more than one person, so this is not a function.
People with a Social Security card cannot have more than one Social Security number, so this is a function.

Answer from: Jasten

Solution:

A relation is said to be function if for each member of domain there is unique value in range. And for no two different ranges values there should be a single domain member.

For, example , {(2,3), (4,6), (5,9),(0,7)} is a function.

But {(0,1),(0,2), (1,5),(3,6)} is not a function.

The set of first element of ordered pair is called Domain and the set of second elements of ordered pair is called range.

Option a: Take trees height found in forest as ,{1,2,3,4} and trees as, {A,B,C,D,E,F} as two trees can have same height means (1,A) and (1,E), so this can be a relation but not a function.

Option b: As, A same type and having same model car can be possessed by two different persons, so this can be relation but not a function.(C ,1),(C, 2)

Option c: As, on the same day that is single day , the birthday of two students can fall, so this can be relation but not a function.(12 January, Ran), (12 January, San)

Option d: As, different people having Social Security cards have different set of Social Security numbers. So this relation is a function.

People Social Security numbers

A 1

B 2

AB 12

C 3

ABC 123

True Option: d→→ the set of people with Social Security cards and the set of Social Security numbers

Answer from: Quest

answer: 45

Answer from: Quest

rectangle that is ther answer you

step-by-step explanation:

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