Question

Is this relation a function? justify your answer. an image of a graph with 4 points. point of intersection: (x,y). (8,5), (4,2), (4,10), (2,3). text that reads: x-axis. 1,2,3,4,5,6,7,8,9,10,11. y-axis. 1,2,3,4,5,6,7,8,9,10,11.

a. yes, because the number of x-values is the same as the number of y-values.
b. no, because two points with the same y-value have different x-values.
c. no, because two points with the same x-value have different y-values.
d. yes, because every x- and y-value is positive.

Answer 1

The relation is not a function

b. no, because two points with the same y-value have different x-values.

Why is the relation not a function

The relation is not a function because there exists one input (element in the domain) that is associated with more than one output (element in the codomain).

The relation fails to be a function since there are two ordered pairs in the relation with the same first component (input), but different second components (outputs)

The points are:

• (4, 10) and (4, 2)

The input is 4 twice with different output of 10 and 2.

The image is attached with red line joining the two points