Identify the relation that is also a function. A. {(4, 2) (4, -3) (9, 3) (9, -3)} B. {(1, 0) (2, 3) (3, -1) (1, 5)} C. {(0, -1) (1, -2) (2, -3) (-1, 2)} D. {(5, 4) (5, 1) (5, 3) (0, 5)}
Can some one explain?? So i can do functions on my own ://
a relation is not a function if one value of x maps to more than one value of y.
So, which relation has unique 1st elements for all its pairs?
To identify the relation that is also a function, we need to understand the definition of a function. A function is a relation between two sets, where each input value (also known as the domain) is associated with exactly one output value (also known as the range).
In the given options, we can analyze each relation to see if it meets this criteria.
A. {(4, 2) (4, -3) (9, 3) (9, -3)}:
Here, we have two input values (4 and 9) associated with multiple output values (2, -3, 3, -3). Therefore, this relation is not a function.
B. {(1, 0) (2, 3) (3, -1) (1, 5)}:
In this relation, we have two instances where the same input value (1) is associated with different output values (0 and 5). Hence, this relation is not a function.
C. {(0, -1) (1, -2) (2, -3) (-1, 2)}:
Here, each input value is associated with a unique output value, so this relation is a function.
D. {(5, 4) (5, 1) (5, 3) (0, 5)}:
Similar to option A, we have multiple output values (4, 1, 3) associated with the same input value (5). Therefore, this relation is not a function.
Therefore, the relation that is also a function is option C.
Remember, to determine if a relation is a function, you need to ensure that each input value is associated with exactly one output value.