cant determine which is a function: A. {(5, 3), (8, –2), (8, 5), (–2, 8)} B. {(5, 3), (3, 8), (5, –2)} C. {(5, 3), (3, 5), (–2, –2)} D. {5, 3, 8, –2}
in a function.. for each value of x there is one unique value for y in option A.. for x=8 we have two values for y -2 and 5 so it is not a function same in B.. there two values for y when x=5 C is a function D is just a 4dimentional point so not a function
functions are pairs of numbers. But, the pairs can not have the same first number. so (2,1), (2,3) is not a function (first number used more than once) but { (1,2), (3,2) } is a function. first number is not re-used in any pair.
so a?
look at (a). Look at the 2nd and 3rd pair. Do they start with the same number? If so, it is NOT a function
its not a function so would u say b?
look at (b). look at the 1st pair and the last pair
it looks like none of them besides c and that doesnt really look like it would work either
what is wrong with c?
it just doesnt look right
reusing the first number is not allowed, but the 2nd number can be repeated. {(5, 3), (3, 5), (–2, –2)} Better get better specs. It looks good. Pairs of numbers, the first number in each pair are 5,3,-2 (no repeats). So it is a function.
D looks wrong because it is not a list of pairs.
so it is c?
Yes. Be more confident. You know the rules: is it a list of pairs. YES. Are there no repeats of the first number? YES. We have a function.
thanks alot :)
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