Answer:
One of this ordered pairs: [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex] should be removed
Step-by-step explanation:
A relation f is said to be a function if for each and every element of it's domain there exists a unique image in it's codomain.
As per the graph, ordered pairs are [tex]\left ( 1,3 \right )\,,\,\left ( 2,1 \right )\,,\,\left ( -2,2 \right )\,,\,\left (1 ,-2 \right )\,,\,\left ( 5,-4 \right )\,,\,\left ( -4,-4 \right )\,,\,\left ( -5,-3 \right )[/tex]
Here, all the ordered pairs have unique image except [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex]
Here , element 1 of domain has two images 3 and - 2 .
We know that as per definition for each and every element of the domain there should be a unique image in the codomain.
So, one of this ordered pairs: [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex] should be removed in order to make it a function.
