Which of the following sets of points would give functions?

AI Thread Summary
The discussion centers on identifying whether a given set of points represents a function. The set provided is {(1,4),(2,5),(3,6),(4,7),(5,8)}, and it is clarified that a function requires each input (first number) to map to exactly one output (second number). Participants explain that the absence of repeated first numbers in the set confirms it is indeed a function. The key takeaway is that a list of (x,y) pairs can define a function as long as each x-value is unique. Understanding this concept is crucial for completing the math assignment correctly.
cygnus_x1
Messages
1
Reaction score
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:
 
Mathematics news on Phys.org
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
 
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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top