Let the set of ordered pairs (x, y)= {(1, 2), (2, 4), (1, 3), (3, 4)} is a relation between x and
y.
Then the relation:
A. is a function
B. is not a function as y = 4 is related to two values of x i.e. x = 2 and x = 3
C. is not a function as x = 1 is related to two values of y i.e. y = 2 and y = 3
D. is a function except at the point x = 2
i think this is A
To determine if the given relation is a function, we need to check if each input value (x) is related to exactly one output value (y).
Let's analyze the relation by looking at the x-values:
- (1, 2): x = 1 is related to y = 2
- (2, 4): x = 2 is related to y = 4
- (1, 3): x = 1 is related to y = 3
- (3, 4): x = 3 is related to y = 4
As we can see, for each x-value, there is only one y-value associated with it except for x = 1, which is related to both y = 2 and y = 3. Thus, the relation is not a function.
The correct answer is C. The relation is not a function as x = 1 is related to two values of y, i.e., y = 2 and y = 3.