ANSWERS
(a) {(-4, 4), (-1, -3), (0, -3), (3, 1), (3, 4)}
(b) {-4, -1, 0, 3}
(c) {-3, 1, 4}
(d) No, it does not define y as a function of x
Step-by-step explanation
(a) In the graph, we can see that there are 5 points. The set of ordered pairs that define this relation is the set of the coordinates of each point,
Hence, the set of ordered pairs that defines the relation is {(-4, 4), (-1, -3), (0, -3), (3, 1), (3, 4)}.
(b) The domain of a relation is the set of all the x-coordinates of the ordered pairs that define the relation. They are written from least to greatest regardless of the order of the ordered pairs of the definition. If one value is the x-coordinate of more than one point, then we only write it once in the domain.
Hence, the domain of this relation is {-4, -1, 0, 3}.
(c) The range of a relation is the set of all the y-coordinates of the ordered pairs. Similar to the domain, it is written from least to greatest and the repeated values are written only once.
Hence, the range of this relation is {-3, 1, 4}.
(d) A relation defines y as a function of x only if for each value of x there is only one associated value of y.
In this case, we can see that for x = 3 there are two values of y, 1 and 4.
Hence, this relation does not define y as a function of x.