Video Transcript
Write the relation 𝑅 for the
following diagram.
Any relation 𝑅 needs to be written
as a set of ordered pairs of the form 𝑥, 𝑦. In the relation, the 𝑥-values
correspond to the domain or input and the 𝑦-values are the range or output. In this question, there are five
points marked on the diagram. Therefore, we need five ordered
pairs. These can be written in any order,
but we will start furthest to the left, the lowest 𝑥-value. The first ordered pair is therefore
equal to negative four, one. We go along the 𝑥-axis to negative
four and up the 𝑦-axis to one.
Our second point has coordinates
negative one, two. The next pair is zero, one. Any point that lies on the 𝑦-axis
will have an 𝑥-coordinate of zero. Our fourth point has coordinates
two, three. The fifth and final ordered pair is
three, one. We can therefore conclude that the
relation 𝑅 is the set of values negative four, one; negative one, two; zero, one;
two, three; and three, one.
