Question

Which numbers belong to the domain of the relation {(–2, 4), (0, –3), (4, 7), (–2, 5)}?

Choose all answers that are correct.

A.
–3

B.
–2

C.
0

D.
4

Answer 1

A relation is a set of ordered pairs (x, y).
Example: The set {(1,a), (1, b), (2,b), (3,c), (3, a), (4,a)} is a relation
A function is a relation (so, it is the set of ordered pairs) that does not contain two pairs with the same
first component. Sometimes we say that a function is a rule (correspondence) that assigns to each
element of one set , X, one and only one element of another set, Y. The elements of the set X are often
called inputs and the elements of the set Y are called outputs.
A function can be visualized as a machine, that takes x as an input and returns y as an output.
The domain of a function is the set of all first components, x, in the ordered pairs.
The range of a function is the set of all second components, y, in the ordered pairs.

Answer 2

You here?

Answer 3

@Sophie848

Answer 4

I know.

Answer 5

We will deal with functions for which both domain and the range are the set (or subset) of real
numbers
A function can be defined by:
(i) Set of ordered pairs
Example: {(1,a), (2,b), (3,c), (4,a)} is a function, since there are no two pairs with the same
first component. The domain is then the set {1,2,3,4} and the range is the set {a,b,c}
Example: {(1,a), (2,b), (1,c), (4,a)} is not a function, since there are two pairs with the first
component 1
(ii) Diagram which shows how the elements of two sets are paired.

Answer 6

domain is just the x values of all the coordinates
just choose the answers that match the x values of the points

Answer 7

So...-2, 0 and 4?

Answer 8

YESH!!! :) good job

Answer 9

yep good job!