Question

Which of the following is true about the relation?
The range is the set of numbers: one comma three comma four comma five comma eight .

3 is an x-coordinate.

8 comma 7 is an ordered pair in the relation.

There are 7 elements in the domain.

Answer 1

@ganeshie8

Answer 2

Do you know what the range of a function is?

Answer 3

the range is when you find the highest number and the lowest number and subtract them right?

Answer 4

For certain things, that is true, but for a function the range is the set of all y-coordinates of the function.

Answer 5

ok

Answer 6

Look at the figure, can you list all the different numbers the y-coordinates have?

Answer 7

I copied the ordered pairs below to be easier to see them.

x y
4 1
5 3
5 1
5 4
6 5
6 4
7 8

Answer 8

ok

Answer 9

there are 7 elements in this domain right?

Answer 10

Look at the values under y: 1, 3, 1, 4, 5, 4, 8
Those are all the y-coordinates of the given points.
Which numbers were used for y (without repetitions)? {1, 3, 4, 5, 8}
That set is the range of the relation.

Answer 11

ok

Answer 12

The domain is the set of all the x-coordinates, but without repetition.
All the x-coordinates are: 4, 5, 5, 5, 6, 6, 7
The domain is all the numbers used for x without repetition: {4, 5, 6, 7}
The domain has only 4 elements.

Answer 13

Notice, 3 never appears as an x-coordinate. It does appear as a y-coordinate.

Answer 14

There is an ordered pair (7, 8), but there is no ordered pair (8, 7).

Answer 15

ok