Imagine a classroom full of people. Match each person in the room with his or her height rounded to the nearest inch. Does this verbal description represent a function? Explain why or why not.
Also...
Imagine a classroom full of people. Match each person in the room with his or her biological parents. Does this description represent a function? Explain why or why not?
Also...
Imagine a classroom full of people. Match each person in the room with his or her biological parents. Does this description represent a function? Explain why or why not?
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This is kind of a strange exercise but I would say the first is a function and the second isn't. A function can only yield one output per input. Since one person cannot be two different heights, the first one is a function. The 2nd one isn't since every person has 2 different parents.
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Both could be yes.
For the first example, he or she may be about the same height, the mapping allow multiple elements mapped to same number in the domain. The height can't be 5'9" but also 5'6" at the same time.
The second example is more like a one to one mapping (function), i.e, biological parents. Of course, we treat "parents" as one element. If the "parents" considers to be two individual, i.e., a man and a woman, then in that case the function may not be existing. You get the idea, student becomes to have two "outputs", Dad or Mom.
For the first example, he or she may be about the same height, the mapping allow multiple elements mapped to same number in the domain. The height can't be 5'9" but also 5'6" at the same time.
The second example is more like a one to one mapping (function), i.e, biological parents. Of course, we treat "parents" as one element. If the "parents" considers to be two individual, i.e., a man and a woman, then in that case the function may not be existing. You get the idea, student becomes to have two "outputs", Dad or Mom.
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Part 1: Yes this is a function because for each input there will be exactly one output (nobody had more than one height). But there can be multiple inputs yielding output (different people might all be the same height.
Part 2: No this is not a function because there will be exactly two outputs for every inputs (everyone has 2 biological parents).
Part 2: No this is not a function because there will be exactly two outputs for every inputs (everyone has 2 biological parents).