Question

The range of the relation below is:
x y
-3 8
3 6
5 4
8 4

A. {−3, 2, 5, 8}

B. {4, 6, 8}

C. {8, 6, 4, 4}

D. No range exists.

Answer 1

{8, 6, 4, 4} all y values

Answer 2

B. The range by definition is a set that contains all the y values ASSUMING that the mapping is form x to y which is to say, you represent your ordered pairs as (x,y) and not (y,x). Having that said, in a set, any two values which are equal count only as one. Here, four is repeated therefore, four counts only ONCE. B is your solution. I guarantee it.

Answer 3

Well then how come they would say that its C?

Answer 4

Because their definitions are insufficient. It is true that the range is a set of all the values of y, but the range discounts repeated numbers.
While it is also true @rizwan_uet that 4 corresponds to two different values of x, it is STILL repeated. More specifically, your relation is a function and since TWO x values are mapped into ONE y value, this function is "surjective" or "onto."
College set theory does not lie.

Answer 5

guys, there is a range. you shuld just limit the domain. so more info is needed

Answer 6

@khoala4pham ya u r right, i just selected C while looking at the output values. correct option is B. {4, 6, 8}

Answer 7

for the following function


the range is {0,1,2,....} and not {0,1,1,2,2,3,3,4,4,5,5,6,6,......} what u say @Luis_Rivera ???