Question

Given the relation R=(3,7),(2,y),(x,5),(1,6),(4,8), which of the following values of x make the relation R a function?

a) x=2
b) x=3
c) x=4
d) x=1

Answer 1

To determine which values of x make the relation R a function, we need to check if each x value in the relation corresponds to only one y value. The x value 2 appears to have multiple y values in the given relation, so the relation does not qualify as a function. Therefore, the correct answer is x=1.

Step-by-step explanation:

To determine which values of x make the relation R a function, we need to check if each x value in the relation corresponds to only one y value.

A relation is a function if every x value has a unique y value. Let's analyze the given relation: R=(3,7),(2,y),(x,5),(1,6),(4,8).

From the given relation, we can see that the x values 3, 1, and 4 each have a unique y value: 7, 6, and 8 respectively. However, the x value 2 appears to have multiple y values.

Since the relation does not qualify as a function when x=2, the correct answer is d) x=1.