Which of the following sets of points would give functions?

In summary, the conversation was about a math assignment on functions and the request for help with a specific question. The question asks about which set of points would give a function and the person asking for help is unclear on the meaning of "give a function." The expert asks for more context on the question and another person in the conversation explains that a set of (x,y) pairs can give a function if there are no repeated x-values. Based on this information, the set of points given in the question does give a function.
  • #1
cygnus_x1
1
0
ok... this is the thing... I've got a math assignment due tomorrow and i need help! argh.. its on functions so if there's anybody who can help me, please do..

if you could, would you help me with this question:

"Which of the following sets of points would give functions? Explain your answer."
{(1,4),(2,5),(3,6),(4,7),(5,8)}

i'd really appreciate it...
thx :confused:
 
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  • #2
I'm not sure I understand the question. There seems to be only one set. Further, "points" don't necessarily have anything to do with functions. I assume that the first member of the pairs is in the domain of a function, and the second member is the range -- but I'm still not sure what it means to "give a function."

Can you provide more context on how this question was presented?

- Warren
 
  • #3
A list of (x,y) pairs certainly can give a function. In a sense it is y= f(x) where x must be one of the first numbers in the pairs and y is the second number in that same pair. A "function" specifically has the property that you do not have the same "x" (first number) with two different "y"s (second number). That is, you cannot have, for example, (3, 7) and (3, 5) in the same "function". Since, in the example given, the first numbers are 1, 2, 3, 4, 5 with no repeats, it IS a function.
 

FAQ: Which of the following sets of points would give functions?

What is a function in mathematics?

A function is a mathematical concept that describes the relationship between two variables, where each input value (domain) has only one corresponding output value (range).

How do you determine if a set of points gives a function?

To determine if a set of points gives a function, you must check if each input value (x-coordinate) has only one corresponding output value (y-coordinate). This means that no two points can have the same x-coordinate, but different y-coordinates.

What is the difference between a function and a relation?

A function is a special type of relation where each input value has only one corresponding output value. In a relation, one input value can have multiple output values.

Can a set of points that forms a straight line be a function?

Yes, a set of points that forms a straight line can be a function if each input value has only one corresponding output value. This is known as a linear function.

How can you graph a function from a set of points?

To graph a function from a set of points, plot each point on a coordinate plane and connect them with a straight line. Make sure that no two points have the same x-coordinate, but different y-coordinates.

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