Graph the relation {(5, 0), (0, 5), (5, 1), (1, 5)}. Is it a function? Why or why not?

Solution:

Given: Relation is {(5, 0), (0, 5), (5, 1), (1, 5)}

By plotting these points on the x-axis and y-axis, we get the following graph

The horizontal line is the x-axis and the vertical line is the y-axis

We know the definition of a function, it is a set of ordered pairs where each first element is paired with one and only one-second element, and no element in either pair is without a partner.

For a relationship to be a function, there must be a one-to-one correspondence between the x and y values. For every value of x, there must be only one value for y.

So the first set is a function and the second set is not.

Therefore, the given relation (5, 0), (0, 5), (5, 1), (1, 5) is not a function.

Graph the relation {(5, 0), (0, 5), (5, 1), (1, 5)}. Is it a function? Why or why not?

Summary:

The relation {(5, 0), (0, 5), (5, 1), (1, 5)} is plotted. It is not a function.